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Finding the Fourth Proportional to 6,646.10, 9,951.32 and 3,716.06

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Solution

The fourth proportional to 6,646.10, 9,951.32 and 3,716.06 is: 5,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.10 : 9,951.32 = 3,716.06 : x
  2. Step 2: Convert to fraction form
    6,646.10/9,951.32 = 3,716.06/x
  3. Step 3: Cross multiply
    6,646.10x = 9,951.32 × 3,716.06
  4. Step 4: Simplify right side
    6,646.10x = 36,979,702.20
  5. Step 5: Solve for x
    x = 36,979,702.20/6,646.10
  6. Step 6: Final answer
    x = 5,564.12

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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.