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Finding the Fourth Proportional to 9,614.16, 14,437.74 and 5,240.16

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Solution

The fourth proportional to 9,614.16, 14,437.74 and 5,240.16 is: 7,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.16 : 14,437.74 = 5,240.16 : x
  2. Step 2: Convert to fraction form
    9,614.16/14,437.74 = 5,240.16/x
  3. Step 3: Cross multiply
    9,614.16x = 14,437.74 × 5,240.16
  4. Step 4: Simplify right side
    9,614.16x = 75,656,067.64
  5. Step 5: Solve for x
    x = 75,656,067.64/9,614.16
  6. Step 6: Final answer
    x = 7,869.23

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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.