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Finding the Fourth Proportional to 9,720.57, 13,414.09 and 5,471.87

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Solution

The fourth proportional to 9,720.57, 13,414.09 and 5,471.87 is: 7,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.57 : 13,414.09 = 5,471.87 : x
  2. Step 2: Convert to fraction form
    9,720.57/13,414.09 = 5,471.87/x
  3. Step 3: Cross multiply
    9,720.57x = 13,414.09 × 5,471.87
  4. Step 4: Simplify right side
    9,720.57x = 73,400,156.65
  5. Step 5: Solve for x
    x = 73,400,156.65/9,720.57
  6. Step 6: Final answer
    x = 7,551.01

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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.