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Finding the Fourth Proportional to 9,614.88, 14,397.14 and 7,730.75

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Solution

The fourth proportional to 9,614.88, 14,397.14 and 7,730.75 is: 11,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.88 : 14,397.14 = 7,730.75 : x
  2. Step 2: Convert to fraction form
    9,614.88/14,397.14 = 7,730.75/x
  3. Step 3: Cross multiply
    9,614.88x = 14,397.14 × 7,730.75
  4. Step 4: Simplify right side
    9,614.88x = 111,300,651.40
  5. Step 5: Solve for x
    x = 111,300,651.40/9,614.88
  6. Step 6: Final answer
    x = 11,575.88

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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.