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Finding the Fourth Proportional to 8,298,276.80, 12,456,746.40 and 6,413,374.40

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Solution

The fourth proportional to 8,298,276.80, 12,456,746.40 and 6,413,374.40 is: 9,627,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298,276.80 : 12,456,746.40 = 6,413,374.40 : x
  2. Step 2: Convert to fraction form
    8,298,276.80/12,456,746.40 = 6,413,374.40/x
  3. Step 3: Cross multiply
    8,298,276.80x = 12,456,746.40 × 6,413,374.40
  4. Step 4: Simplify right side
    8,298,276.80x = 79,889,778,469,052.17
  5. Step 5: Solve for x
    x = 79,889,778,469,052.17/8,298,276.80
  6. Step 6: Final answer
    x = 9,627,273.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.