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Finding the Fourth Proportional to 9,211.89, 12,712.47 and 5,020.14

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Solution

The fourth proportional to 9,211.89, 12,712.47 and 5,020.14 is: 6,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.89 : 12,712.47 = 5,020.14 : x
  2. Step 2: Convert to fraction form
    9,211.89/12,712.47 = 5,020.14/x
  3. Step 3: Cross multiply
    9,211.89x = 12,712.47 × 5,020.14
  4. Step 4: Simplify right side
    9,211.89x = 63,818,379.15
  5. Step 5: Solve for x
    x = 63,818,379.15/9,211.89
  6. Step 6: Final answer
    x = 6,927.83

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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.