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Finding the Fourth Proportional to 9,002.52, 13,499.19 and 5,305.95

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Solution

The fourth proportional to 9,002.52, 13,499.19 and 5,305.95 is: 7,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.52 : 13,499.19 = 5,305.95 : x
  2. Step 2: Convert to fraction form
    9,002.52/13,499.19 = 5,305.95/x
  3. Step 3: Cross multiply
    9,002.52x = 13,499.19 × 5,305.95
  4. Step 4: Simplify right side
    9,002.52x = 71,626,027.18
  5. Step 5: Solve for x
    x = 71,626,027.18/9,002.52
  6. Step 6: Final answer
    x = 7,956.22

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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.