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Finding the Fourth Proportional to 6,614.40, 9,863.16 and 6,555

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Solution

The fourth proportional to 6,614.40, 9,863.16 and 6,555 is: 9,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.40 : 9,863.16 = 6,555 : x
  2. Step 2: Convert to fraction form
    6,614.40/9,863.16 = 6,555/x
  3. Step 3: Cross multiply
    6,614.40x = 9,863.16 × 6,555
  4. Step 4: Simplify right side
    6,614.40x = 64,653,013.80
  5. Step 5: Solve for x
    x = 64,653,013.80/6,614.40
  6. Step 6: Final answer
    x = 9,774.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.