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Finding the Fourth Proportional to 7,211.17, 9,945.82 and 4,557.61

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Solution

The fourth proportional to 7,211.17, 9,945.82 and 4,557.61 is: 6,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.17 : 9,945.82 = 4,557.61 : x
  2. Step 2: Convert to fraction form
    7,211.17/9,945.82 = 4,557.61/x
  3. Step 3: Cross multiply
    7,211.17x = 9,945.82 × 4,557.61
  4. Step 4: Simplify right side
    7,211.17x = 45,329,145.90
  5. Step 5: Solve for x
    x = 45,329,145.90/7,211.17
  6. Step 6: Final answer
    x = 6,285.96

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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.