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Finding the Fourth Proportional to 9,348.10, 12,898.07 and 5,713.22

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Solution

The fourth proportional to 9,348.10, 12,898.07 and 5,713.22 is: 7,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.10 : 12,898.07 = 5,713.22 : x
  2. Step 2: Convert to fraction form
    9,348.10/12,898.07 = 5,713.22/x
  3. Step 3: Cross multiply
    9,348.10x = 12,898.07 × 5,713.22
  4. Step 4: Simplify right side
    9,348.10x = 73,689,503.30
  5. Step 5: Solve for x
    x = 73,689,503.30/9,348.10
  6. Step 6: Final answer
    x = 7,882.83

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Similar ratio
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1.5x scale

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.