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Finding the Fourth Proportional to 9,122.80, 12,591.48 and 5,930.55

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Solution

The fourth proportional to 9,122.80, 12,591.48 and 5,930.55 is: 8,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.80 : 12,591.48 = 5,930.55 : x
  2. Step 2: Convert to fraction form
    9,122.80/12,591.48 = 5,930.55/x
  3. Step 3: Cross multiply
    9,122.80x = 12,591.48 × 5,930.55
  4. Step 4: Simplify right side
    9,122.80x = 74,674,401.71
  5. Step 5: Solve for x
    x = 74,674,401.71/9,122.80
  6. Step 6: Final answer
    x = 8,185.47

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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.