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Finding the Fourth Proportional to 9,691.70, 14,546.62 and 4,764.86

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Solution

The fourth proportional to 9,691.70, 14,546.62 and 4,764.86 is: 7,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.70 : 14,546.62 = 4,764.86 : x
  2. Step 2: Convert to fraction form
    9,691.70/14,546.62 = 4,764.86/x
  3. Step 3: Cross multiply
    9,691.70x = 14,546.62 × 4,764.86
  4. Step 4: Simplify right side
    9,691.70x = 69,312,607.77
  5. Step 5: Solve for x
    x = 69,312,607.77/9,691.70
  6. Step 6: Final answer
    x = 7,151.75

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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.