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Finding the Fourth Proportional to 6,475.46, 8,934.71 and 3,642.53

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Solution

The fourth proportional to 6,475.46, 8,934.71 and 3,642.53 is: 5,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.46 : 8,934.71 = 3,642.53 : x
  2. Step 2: Convert to fraction form
    6,475.46/8,934.71 = 3,642.53/x
  3. Step 3: Cross multiply
    6,475.46x = 8,934.71 × 3,642.53
  4. Step 4: Simplify right side
    6,475.46x = 32,544,886.33
  5. Step 5: Solve for x
    x = 32,544,886.33/6,475.46
  6. Step 6: Final answer
    x = 5,025.88

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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.