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Finding the Fourth Proportional to 10,572.57, 14,576.31 and 9,096.34

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Solution

The fourth proportional to 10,572.57, 14,576.31 and 9,096.34 is: 12,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.57 : 14,576.31 = 9,096.34 : x
  2. Step 2: Convert to fraction form
    10,572.57/14,576.31 = 9,096.34/x
  3. Step 3: Cross multiply
    10,572.57x = 14,576.31 × 9,096.34
  4. Step 4: Simplify right side
    10,572.57x = 132,591,071.71
  5. Step 5: Solve for x
    x = 132,591,071.71/10,572.57
  6. Step 6: Final answer
    x = 12,541.04

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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.