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Finding the Fourth Proportional to 9,211.96, 12,712.38 and 5,020.12

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Solution

The fourth proportional to 9,211.96, 12,712.38 and 5,020.12 is: 6,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.96 : 12,712.38 = 5,020.12 : x
  2. Step 2: Convert to fraction form
    9,211.96/12,712.38 = 5,020.12/x
  3. Step 3: Cross multiply
    9,211.96x = 12,712.38 × 5,020.12
  4. Step 4: Simplify right side
    9,211.96x = 63,817,673.09
  5. Step 5: Solve for x
    x = 63,817,673.09/9,211.96
  6. Step 6: Final answer
    x = 6,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.