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Finding the Fourth Proportional to 9,607.32, 14,387.76 and 7,951.68

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Solution

The fourth proportional to 9,607.32, 14,387.76 and 7,951.68 is: 11,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.32 : 14,387.76 = 7,951.68 : x
  2. Step 2: Convert to fraction form
    9,607.32/14,387.76 = 7,951.68/x
  3. Step 3: Cross multiply
    9,607.32x = 14,387.76 × 7,951.68
  4. Step 4: Simplify right side
    9,607.32x = 114,406,863.44
  5. Step 5: Solve for x
    x = 114,406,863.44/9,607.32
  6. Step 6: Final answer
    x = 11,908.30

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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.