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Finding the Fourth Proportional to 9,323.56, 12,862.02 and 5,790.88

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Solution

The fourth proportional to 9,323.56, 12,862.02 and 5,790.88 is: 7,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.56 : 12,862.02 = 5,790.88 : x
  2. Step 2: Convert to fraction form
    9,323.56/12,862.02 = 5,790.88/x
  3. Step 3: Cross multiply
    9,323.56x = 12,862.02 × 5,790.88
  4. Step 4: Simplify right side
    9,323.56x = 74,482,414.38
  5. Step 5: Solve for x
    x = 74,482,414.38/9,323.56
  6. Step 6: Final answer
    x = 7,988.62

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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.