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Finding the Fourth Proportional to 9,134.46, 12,605.54 and 4,942.71

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Solution

The fourth proportional to 9,134.46, 12,605.54 and 4,942.71 is: 6,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.46 : 12,605.54 = 4,942.71 : x
  2. Step 2: Convert to fraction form
    9,134.46/12,605.54 = 4,942.71/x
  3. Step 3: Cross multiply
    9,134.46x = 12,605.54 × 4,942.71
  4. Step 4: Simplify right side
    9,134.46x = 62,305,503.90
  5. Step 5: Solve for x
    x = 62,305,503.90/9,134.46
  6. Step 6: Final answer
    x = 6,820.93

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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.