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Finding the Fourth Proportional to 9,657.91, 14,489.03 and 5,215.47

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Solution

The fourth proportional to 9,657.91, 14,489.03 and 5,215.47 is: 7,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.91 : 14,489.03 = 5,215.47 : x
  2. Step 2: Convert to fraction form
    9,657.91/14,489.03 = 5,215.47/x
  3. Step 3: Cross multiply
    9,657.91x = 14,489.03 × 5,215.47
  4. Step 4: Simplify right side
    9,657.91x = 75,567,168.67
  5. Step 5: Solve for x
    x = 75,567,168.67/9,657.91
  6. Step 6: Final answer
    x = 7,824.38

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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.