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Finding the Fourth Proportional to 6,466,113.49, 8,919,897.24 and 4,017,794.32

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Solution

The fourth proportional to 6,466,113.49, 8,919,897.24 and 4,017,794.32 is: 5,542,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,113.49 : 8,919,897.24 = 4,017,794.32 : x
  2. Step 2: Convert to fraction form
    6,466,113.49/8,919,897.24 = 4,017,794.32/x
  3. Step 3: Cross multiply
    6,466,113.49x = 8,919,897.24 × 4,017,794.32
  4. Step 4: Simplify right side
    6,466,113.49x = 35,838,312,489,813.50
  5. Step 5: Solve for x
    x = 35,838,312,489,813.50/6,466,113.49
  6. Step 6: Final answer
    x = 5,542,481.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.