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Finding the Fourth Proportional to 9,657.68, 14,476.52 and 5,488.71

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Solution

The fourth proportional to 9,657.68, 14,476.52 and 5,488.71 is: 8,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.68 : 14,476.52 = 5,488.71 : x
  2. Step 2: Convert to fraction form
    9,657.68/14,476.52 = 5,488.71/x
  3. Step 3: Cross multiply
    9,657.68x = 14,476.52 × 5,488.71
  4. Step 4: Simplify right side
    9,657.68x = 79,457,379.52
  5. Step 5: Solve for x
    x = 79,457,379.52/9,657.68
  6. Step 6: Final answer
    x = 8,227.38

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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.