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Finding the Fourth Proportional to 6,472.35, 9,695.76 and 6,016.72

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Solution

The fourth proportional to 6,472.35, 9,695.76 and 6,016.72 is: 9,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.35 : 9,695.76 = 6,016.72 : x
  2. Step 2: Convert to fraction form
    6,472.35/9,695.76 = 6,016.72/x
  3. Step 3: Cross multiply
    6,472.35x = 9,695.76 × 6,016.72
  4. Step 4: Simplify right side
    6,472.35x = 58,336,673.11
  5. Step 5: Solve for x
    x = 58,336,673.11/6,472.35
  6. Step 6: Final answer
    x = 9,013.21

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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.