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Finding the Fourth Proportional to 9,238.80, 12,758.52 and 7,904.70

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Solution

The fourth proportional to 9,238.80, 12,758.52 and 7,904.70 is: 10,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.80 : 12,758.52 = 7,904.70 : x
  2. Step 2: Convert to fraction form
    9,238.80/12,758.52 = 7,904.70/x
  3. Step 3: Cross multiply
    9,238.80x = 12,758.52 × 7,904.70
  4. Step 4: Simplify right side
    9,238.80x = 100,852,273.04
  5. Step 5: Solve for x
    x = 100,852,273.04/9,238.80
  6. Step 6: Final answer
    x = 10,916.17

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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.