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Finding the Fourth Proportional to 9,010.38, 12,438.99 and 6,211.02

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Solution

The fourth proportional to 9,010.38, 12,438.99 and 6,211.02 is: 8,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.38 : 12,438.99 = 6,211.02 : x
  2. Step 2: Convert to fraction form
    9,010.38/12,438.99 = 6,211.02/x
  3. Step 3: Cross multiply
    9,010.38x = 12,438.99 × 6,211.02
  4. Step 4: Simplify right side
    9,010.38x = 77,258,815.67
  5. Step 5: Solve for x
    x = 77,258,815.67/9,010.38
  6. Step 6: Final answer
    x = 8,574.42

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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.