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Finding the Fourth Proportional to 9,211.85, 12,712.37 and 5,020.10

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Solution

The fourth proportional to 9,211.85, 12,712.37 and 5,020.10 is: 6,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.85 : 12,712.37 = 5,020.10 : x
  2. Step 2: Convert to fraction form
    9,211.85/12,712.37 = 5,020.10/x
  3. Step 3: Cross multiply
    9,211.85x = 12,712.37 × 5,020.10
  4. Step 4: Simplify right side
    9,211.85x = 63,817,377.52
  5. Step 5: Solve for x
    x = 63,817,377.52/9,211.85
  6. Step 6: Final answer
    x = 6,927.75

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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.