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Finding the Fourth Proportional to 9,382.88, 14,080.71 and 5,003.40

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Solution

The fourth proportional to 9,382.88, 14,080.71 and 5,003.40 is: 7,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.88 : 14,080.71 = 5,003.40 : x
  2. Step 2: Convert to fraction form
    9,382.88/14,080.71 = 5,003.40/x
  3. Step 3: Cross multiply
    9,382.88x = 14,080.71 × 5,003.40
  4. Step 4: Simplify right side
    9,382.88x = 70,451,424.41
  5. Step 5: Solve for x
    x = 70,451,424.41/9,382.88
  6. Step 6: Final answer
    x = 7,508.51

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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.