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Finding the Fourth Proportional to 9,614.64, 14,395.90 and 4,987.92

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Solution

The fourth proportional to 9,614.64, 14,395.90 and 4,987.92 is: 7,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.64 : 14,395.90 = 4,987.92 : x
  2. Step 2: Convert to fraction form
    9,614.64/14,395.90 = 4,987.92/x
  3. Step 3: Cross multiply
    9,614.64x = 14,395.90 × 4,987.92
  4. Step 4: Simplify right side
    9,614.64x = 71,805,597.53
  5. Step 5: Solve for x
    x = 71,805,597.53/9,614.64
  6. Step 6: Final answer
    x = 7,468.36

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Why These Related Problems?

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