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Finding the Fourth Proportional to 9,382.68, 14,072.40 and 2,807.10

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Solution

The fourth proportional to 9,382.68, 14,072.40 and 2,807.10 is: 4,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.68 : 14,072.40 = 2,807.10 : x
  2. Step 2: Convert to fraction form
    9,382.68/14,072.40 = 2,807.10/x
  3. Step 3: Cross multiply
    9,382.68x = 14,072.40 × 2,807.10
  4. Step 4: Simplify right side
    9,382.68x = 39,502,634.04
  5. Step 5: Solve for x
    x = 39,502,634.04/9,382.68
  6. Step 6: Final answer
    x = 4,210.17

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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.