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Finding the Fourth Proportional to 9,283.62, 12,811.38 and 5,034.72

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Solution

The fourth proportional to 9,283.62, 12,811.38 and 5,034.72 is: 6,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.62 : 12,811.38 = 5,034.72 : x
  2. Step 2: Convert to fraction form
    9,283.62/12,811.38 = 5,034.72/x
  3. Step 3: Cross multiply
    9,283.62x = 12,811.38 × 5,034.72
  4. Step 4: Simplify right side
    9,283.62x = 64,501,711.11
  5. Step 5: Solve for x
    x = 64,501,711.11/9,283.62
  6. Step 6: Final answer
    x = 6,947.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.