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Finding the Fourth Proportional to 9,134.39, 12,605.46 and 4,942.64

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Solution

The fourth proportional to 9,134.39, 12,605.46 and 4,942.64 is: 6,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.39 : 12,605.46 = 4,942.64 : x
  2. Step 2: Convert to fraction form
    9,134.39/12,605.46 = 4,942.64/x
  3. Step 3: Cross multiply
    9,134.39x = 12,605.46 × 4,942.64
  4. Step 4: Simplify right side
    9,134.39x = 62,304,250.81
  5. Step 5: Solve for x
    x = 62,304,250.81/9,134.39
  6. Step 6: Final answer
    x = 6,820.84

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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.