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Finding the Fourth Proportional to 9,501.74, 14,251.32 and 2,482.24

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Solution

The fourth proportional to 9,501.74, 14,251.32 and 2,482.24 is: 3,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.74 : 14,251.32 = 2,482.24 : x
  2. Step 2: Convert to fraction form
    9,501.74/14,251.32 = 2,482.24/x
  3. Step 3: Cross multiply
    9,501.74x = 14,251.32 × 2,482.24
  4. Step 4: Simplify right side
    9,501.74x = 35,375,184.15
  5. Step 5: Solve for x
    x = 35,375,184.15/9,501.74
  6. Step 6: Final answer
    x = 3,723.02

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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.