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Finding the Fourth Proportional to 9,377.48, 12,942.48 and 5,397.84

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Solution

The fourth proportional to 9,377.48, 12,942.48 and 5,397.84 is: 7,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.48 : 12,942.48 = 5,397.84 : x
  2. Step 2: Convert to fraction form
    9,377.48/12,942.48 = 5,397.84/x
  3. Step 3: Cross multiply
    9,377.48x = 12,942.48 × 5,397.84
  4. Step 4: Simplify right side
    9,377.48x = 69,861,436.24
  5. Step 5: Solve for x
    x = 69,861,436.24/9,377.48
  6. Step 6: Final answer
    x = 7,449.92

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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.