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Finding the Fourth Proportional to 11,354.64, 15,660.18 and 9,347.46

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Solution

The fourth proportional to 11,354.64, 15,660.18 and 9,347.46 is: 12,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.64 : 15,660.18 = 9,347.46 : x
  2. Step 2: Convert to fraction form
    11,354.64/15,660.18 = 9,347.46/x
  3. Step 3: Cross multiply
    11,354.64x = 15,660.18 × 9,347.46
  4. Step 4: Simplify right side
    11,354.64x = 146,382,906.14
  5. Step 5: Solve for x
    x = 146,382,906.14/11,354.64
  6. Step 6: Final answer
    x = 12,891.90

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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.