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Finding the Fourth Proportional to 9,146.52, 12,628.34 and 5,744.97

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Solution

The fourth proportional to 9,146.52, 12,628.34 and 5,744.97 is: 7,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.52 : 12,628.34 = 5,744.97 : x
  2. Step 2: Convert to fraction form
    9,146.52/12,628.34 = 5,744.97/x
  3. Step 3: Cross multiply
    9,146.52x = 12,628.34 × 5,744.97
  4. Step 4: Simplify right side
    9,146.52x = 72,549,434.45
  5. Step 5: Solve for x
    x = 72,549,434.45/9,146.52
  6. Step 6: Final answer
    x = 7,931.92

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