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Finding the Fourth Proportional to 9,358.30, 12,902.78 and 5,995.58

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Solution

The fourth proportional to 9,358.30, 12,902.78 and 5,995.58 is: 8,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.30 : 12,902.78 = 5,995.58 : x
  2. Step 2: Convert to fraction form
    9,358.30/12,902.78 = 5,995.58/x
  3. Step 3: Cross multiply
    9,358.30x = 12,902.78 × 5,995.58
  4. Step 4: Simplify right side
    9,358.30x = 77,359,619.73
  5. Step 5: Solve for x
    x = 77,359,619.73/9,358.30
  6. Step 6: Final answer
    x = 8,266.42

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Double scale
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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.