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Finding the Fourth Proportional to 10,134.16, 15,099.31 and 9,568.28

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Solution

The fourth proportional to 10,134.16, 15,099.31 and 9,568.28 is: 14,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.16 : 15,099.31 = 9,568.28 : x
  2. Step 2: Convert to fraction form
    10,134.16/15,099.31 = 9,568.28/x
  3. Step 3: Cross multiply
    10,134.16x = 15,099.31 × 9,568.28
  4. Step 4: Simplify right side
    10,134.16x = 144,474,326.47
  5. Step 5: Solve for x
    x = 144,474,326.47/10,134.16
  6. Step 6: Final answer
    x = 14,256.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.