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Finding the Fourth Proportional to 9,250.86, 12,766.10 and 5,217.51

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Solution

The fourth proportional to 9,250.86, 12,766.10 and 5,217.51 is: 7,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.86 : 12,766.10 = 5,217.51 : x
  2. Step 2: Convert to fraction form
    9,250.86/12,766.10 = 5,217.51/x
  3. Step 3: Cross multiply
    9,250.86x = 12,766.10 × 5,217.51
  4. Step 4: Simplify right side
    9,250.86x = 66,607,301.88
  5. Step 5: Solve for x
    x = 66,607,301.88/9,250.86
  6. Step 6: Final answer
    x = 7,200.12

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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.