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Finding the Fourth Proportional to 10,385.28, 14,336.08 and 6,842.32

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Solution

The fourth proportional to 10,385.28, 14,336.08 and 6,842.32 is: 9,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.28 : 14,336.08 = 6,842.32 : x
  2. Step 2: Convert to fraction form
    10,385.28/14,336.08 = 6,842.32/x
  3. Step 3: Cross multiply
    10,385.28x = 14,336.08 × 6,842.32
  4. Step 4: Simplify right side
    10,385.28x = 98,092,046.91
  5. Step 5: Solve for x
    x = 98,092,046.91/10,385.28
  6. Step 6: Final answer
    x = 9,445.30

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