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Finding the Fourth Proportional to 9,691.48, 13,378.32 and 6,551.92

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Solution

The fourth proportional to 9,691.48, 13,378.32 and 6,551.92 is: 9,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.48 : 13,378.32 = 6,551.92 : x
  2. Step 2: Convert to fraction form
    9,691.48/13,378.32 = 6,551.92/x
  3. Step 3: Cross multiply
    9,691.48x = 13,378.32 × 6,551.92
  4. Step 4: Simplify right side
    9,691.48x = 87,653,682.37
  5. Step 5: Solve for x
    x = 87,653,682.37/9,691.48
  6. Step 6: Final answer
    x = 9,044.41

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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.