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Finding the Fourth Proportional to 9,703,564.80, 14,565,844.80 and 6,113,385.60

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Solution

The fourth proportional to 9,703,564.80, 14,565,844.80 and 6,113,385.60 is: 9,176,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703,564.80 : 14,565,844.80 = 6,113,385.60 : x
  2. Step 2: Convert to fraction form
    9,703,564.80/14,565,844.80 = 6,113,385.60/x
  3. Step 3: Cross multiply
    9,703,564.80x = 14,565,844.80 × 6,113,385.60
  4. Step 4: Simplify right side
    9,703,564.80x = 89,046,625,852,154.88
  5. Step 5: Solve for x
    x = 89,046,625,852,154.88/9,703,564.80
  6. Step 6: Final answer
    x = 9,176,692.04

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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.