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Finding the Fourth Proportional to 9,294.89, 13,947.11 and 6,177.03

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Solution

The fourth proportional to 9,294.89, 13,947.11 and 6,177.03 is: 9,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.89 : 13,947.11 = 6,177.03 : x
  2. Step 2: Convert to fraction form
    9,294.89/13,947.11 = 6,177.03/x
  3. Step 3: Cross multiply
    9,294.89x = 13,947.11 × 6,177.03
  4. Step 4: Simplify right side
    9,294.89x = 86,151,686.00
  5. Step 5: Solve for x
    x = 86,151,686.00/9,294.89
  6. Step 6: Final answer
    x = 9,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.