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Finding the Fourth Proportional to 6,461.12, 9,691.56 and 3,681.86

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Solution

The fourth proportional to 6,461.12, 9,691.56 and 3,681.86 is: 5,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.12 : 9,691.56 = 3,681.86 : x
  2. Step 2: Convert to fraction form
    6,461.12/9,691.56 = 3,681.86/x
  3. Step 3: Cross multiply
    6,461.12x = 9,691.56 × 3,681.86
  4. Step 4: Simplify right side
    6,461.12x = 35,682,967.10
  5. Step 5: Solve for x
    x = 35,682,967.10/6,461.12
  6. Step 6: Final answer
    x = 5,522.72

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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.