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Finding the Fourth Proportional to 9,251.84, 12,767.64 and 5,060

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Solution

The fourth proportional to 9,251.84, 12,767.64 and 5,060 is: 6,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.84 : 12,767.64 = 5,060 : x
  2. Step 2: Convert to fraction form
    9,251.84/12,767.64 = 5,060/x
  3. Step 3: Cross multiply
    9,251.84x = 12,767.64 × 5,060
  4. Step 4: Simplify right side
    9,251.84x = 64,604,258.40
  5. Step 5: Solve for x
    x = 64,604,258.40/9,251.84
  6. Step 6: Final answer
    x = 6,982.86

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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.