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Finding the Fourth Proportional to 10,354.08, 14,285.52 and 9,356.16

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Solution

The fourth proportional to 10,354.08, 14,285.52 and 9,356.16 is: 12,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.08 : 14,285.52 = 9,356.16 : x
  2. Step 2: Convert to fraction form
    10,354.08/14,285.52 = 9,356.16/x
  3. Step 3: Cross multiply
    10,354.08x = 14,285.52 × 9,356.16
  4. Step 4: Simplify right side
    10,354.08x = 133,657,610.80
  5. Step 5: Solve for x
    x = 133,657,610.80/10,354.08
  6. Step 6: Final answer
    x = 12,908.69

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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.