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Finding the Fourth Proportional to 6,631.17, 9,151.05 and 3,646.95

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Solution

The fourth proportional to 6,631.17, 9,151.05 and 3,646.95 is: 5,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.17 : 9,151.05 = 3,646.95 : x
  2. Step 2: Convert to fraction form
    6,631.17/9,151.05 = 3,646.95/x
  3. Step 3: Cross multiply
    6,631.17x = 9,151.05 × 3,646.95
  4. Step 4: Simplify right side
    6,631.17x = 33,373,421.80
  5. Step 5: Solve for x
    x = 33,373,421.80/6,631.17
  6. Step 6: Final answer
    x = 5,032.81

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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.