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Finding the Fourth Proportional to 6,417.81, 9,632.18 and 2,524.95

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Solution

The fourth proportional to 6,417.81, 9,632.18 and 2,524.95 is: 3,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.81 : 9,632.18 = 2,524.95 : x
  2. Step 2: Convert to fraction form
    6,417.81/9,632.18 = 2,524.95/x
  3. Step 3: Cross multiply
    6,417.81x = 9,632.18 × 2,524.95
  4. Step 4: Simplify right side
    6,417.81x = 24,320,772.89
  5. Step 5: Solve for x
    x = 24,320,772.89/6,417.81
  6. Step 6: Final answer
    x = 3,789.58

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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.