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Finding the Fourth Proportional to 9,239.57, 12,750.41 and 5,206.61

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Solution

The fourth proportional to 9,239.57, 12,750.41 and 5,206.61 is: 7,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.57 : 12,750.41 = 5,206.61 : x
  2. Step 2: Convert to fraction form
    9,239.57/12,750.41 = 5,206.61/x
  3. Step 3: Cross multiply
    9,239.57x = 12,750.41 × 5,206.61
  4. Step 4: Simplify right side
    9,239.57x = 66,386,457.10
  5. Step 5: Solve for x
    x = 66,386,457.10/9,239.57
  6. Step 6: Final answer
    x = 7,185.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.