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Finding the Fourth Proportional to 9,125.34, 12,591.90 and 5,146.22

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Solution

The fourth proportional to 9,125.34, 12,591.90 and 5,146.22 is: 7,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.34 : 12,591.90 = 5,146.22 : x
  2. Step 2: Convert to fraction form
    9,125.34/12,591.90 = 5,146.22/x
  3. Step 3: Cross multiply
    9,125.34x = 12,591.90 × 5,146.22
  4. Step 4: Simplify right side
    9,125.34x = 64,800,624.66
  5. Step 5: Solve for x
    x = 64,800,624.66/9,125.34
  6. Step 6: Final answer
    x = 7,101.17

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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.