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Finding the Fourth Proportional to 9,646.62, 13,310.19 and 5,871.75

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Solution

The fourth proportional to 9,646.62, 13,310.19 and 5,871.75 is: 8,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.62 : 13,310.19 = 5,871.75 : x
  2. Step 2: Convert to fraction form
    9,646.62/13,310.19 = 5,871.75/x
  3. Step 3: Cross multiply
    9,646.62x = 13,310.19 × 5,871.75
  4. Step 4: Simplify right side
    9,646.62x = 78,154,108.13
  5. Step 5: Solve for x
    x = 78,154,108.13/9,646.62
  6. Step 6: Final answer
    x = 8,101.71

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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.