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Finding the Fourth Proportional to 9,785.92, 14,678.88 and 3,546.76

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Solution

The fourth proportional to 9,785.92, 14,678.88 and 3,546.76 is: 5,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.92 : 14,678.88 = 3,546.76 : x
  2. Step 2: Convert to fraction form
    9,785.92/14,678.88 = 3,546.76/x
  3. Step 3: Cross multiply
    9,785.92x = 14,678.88 × 3,546.76
  4. Step 4: Simplify right side
    9,785.92x = 52,062,464.43
  5. Step 5: Solve for x
    x = 52,062,464.43/9,785.92
  6. Step 6: Final answer
    x = 5,320.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.