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Finding the Fourth Proportional to 9,516.92, 14,254.26 and 7,309.40

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Solution

The fourth proportional to 9,516.92, 14,254.26 and 7,309.40 is: 10,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.92 : 14,254.26 = 7,309.40 : x
  2. Step 2: Convert to fraction form
    9,516.92/14,254.26 = 7,309.40/x
  3. Step 3: Cross multiply
    9,516.92x = 14,254.26 × 7,309.40
  4. Step 4: Simplify right side
    9,516.92x = 104,190,088.04
  5. Step 5: Solve for x
    x = 104,190,088.04/9,516.92
  6. Step 6: Final answer
    x = 10,947.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.