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Finding the Fourth Proportional to 9,691.68, 13,379.76 and 6,553.44

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Solution

The fourth proportional to 9,691.68, 13,379.76 and 6,553.44 is: 9,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.68 : 13,379.76 = 6,553.44 : x
  2. Step 2: Convert to fraction form
    9,691.68/13,379.76 = 6,553.44/x
  3. Step 3: Cross multiply
    9,691.68x = 13,379.76 × 6,553.44
  4. Step 4: Simplify right side
    9,691.68x = 87,683,454.37
  5. Step 5: Solve for x
    x = 87,683,454.37/9,691.68
  6. Step 6: Final answer
    x = 9,047.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.