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Finding the Fourth Proportional to 9,382.59, 14,073.89 and 2,457.09

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Solution

The fourth proportional to 9,382.59, 14,073.89 and 2,457.09 is: 3,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.59 : 14,073.89 = 2,457.09 : x
  2. Step 2: Convert to fraction form
    9,382.59/14,073.89 = 2,457.09/x
  3. Step 3: Cross multiply
    9,382.59x = 14,073.89 × 2,457.09
  4. Step 4: Simplify right side
    9,382.59x = 34,580,802.09
  5. Step 5: Solve for x
    x = 34,580,802.09/9,382.59
  6. Step 6: Final answer
    x = 3,685.64

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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.