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Finding the Fourth Proportional to 6,646.55, 9,950.52 and 3,864.74

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Solution

The fourth proportional to 6,646.55, 9,950.52 and 3,864.74 is: 5,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.55 : 9,950.52 = 3,864.74 : x
  2. Step 2: Convert to fraction form
    6,646.55/9,950.52 = 3,864.74/x
  3. Step 3: Cross multiply
    6,646.55x = 9,950.52 × 3,864.74
  4. Step 4: Simplify right side
    6,646.55x = 38,456,172.66
  5. Step 5: Solve for x
    x = 38,456,172.66/6,646.55
  6. Step 6: Final answer
    x = 5,785.88

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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.