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Finding the Fourth Proportional to 9,006.31, 12,428.50 and 5,027.79

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Solution

The fourth proportional to 9,006.31, 12,428.50 and 5,027.79 is: 6,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.31 : 12,428.50 = 5,027.79 : x
  2. Step 2: Convert to fraction form
    9,006.31/12,428.50 = 5,027.79/x
  3. Step 3: Cross multiply
    9,006.31x = 12,428.50 × 5,027.79
  4. Step 4: Simplify right side
    9,006.31x = 62,487,888.02
  5. Step 5: Solve for x
    x = 62,487,888.02/9,006.31
  6. Step 6: Final answer
    x = 6,938.23

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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.