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Finding the Fourth Proportional to 6,476.71, 9,700.45 and 4,537.57

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Solution

The fourth proportional to 6,476.71, 9,700.45 and 4,537.57 is: 6,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.71 : 9,700.45 = 4,537.57 : x
  2. Step 2: Convert to fraction form
    6,476.71/9,700.45 = 4,537.57/x
  3. Step 3: Cross multiply
    6,476.71x = 9,700.45 × 4,537.57
  4. Step 4: Simplify right side
    6,476.71x = 44,016,470.91
  5. Step 5: Solve for x
    x = 44,016,470.91/6,476.71
  6. Step 6: Final answer
    x = 6,796.12

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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.