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Finding the Fourth Proportional to 9,134.48, 13,692 and 4,747.52

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Solution

The fourth proportional to 9,134.48, 13,692 and 4,747.52 is: 7,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.48 : 13,692 = 4,747.52 : x
  2. Step 2: Convert to fraction form
    9,134.48/13,692 = 4,747.52/x
  3. Step 3: Cross multiply
    9,134.48x = 13,692 × 4,747.52
  4. Step 4: Simplify right side
    9,134.48x = 65,003,043.84
  5. Step 5: Solve for x
    x = 65,003,043.84/9,134.48
  6. Step 6: Final answer
    x = 7,116.23

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