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Finding the Fourth Proportional to 9,325.50, 12,867.82 and 5,291.70

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Solution

The fourth proportional to 9,325.50, 12,867.82 and 5,291.70 is: 7,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.50 : 12,867.82 = 5,291.70 : x
  2. Step 2: Convert to fraction form
    9,325.50/12,867.82 = 5,291.70/x
  3. Step 3: Cross multiply
    9,325.50x = 12,867.82 × 5,291.70
  4. Step 4: Simplify right side
    9,325.50x = 68,092,552.30
  5. Step 5: Solve for x
    x = 68,092,552.30/9,325.50
  6. Step 6: Final answer
    x = 7,301.76

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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.