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Finding the Fourth Proportional to 9,382.74, 14,070.01 and 2,807.39

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Solution

The fourth proportional to 9,382.74, 14,070.01 and 2,807.39 is: 4,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.74 : 14,070.01 = 2,807.39 : x
  2. Step 2: Convert to fraction form
    9,382.74/14,070.01 = 2,807.39/x
  3. Step 3: Cross multiply
    9,382.74x = 14,070.01 × 2,807.39
  4. Step 4: Simplify right side
    9,382.74x = 39,500,019.97
  5. Step 5: Solve for x
    x = 39,500,019.97/9,382.74
  6. Step 6: Final answer
    x = 4,209.86

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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.