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Finding the Fourth Proportional to 9,691.74, 14,544.06 and 3,535.74

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Solution

The fourth proportional to 9,691.74, 14,544.06 and 3,535.74 is: 5,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.74 : 14,544.06 = 3,535.74 : x
  2. Step 2: Convert to fraction form
    9,691.74/14,544.06 = 3,535.74/x
  3. Step 3: Cross multiply
    9,691.74x = 14,544.06 × 3,535.74
  4. Step 4: Simplify right side
    9,691.74x = 51,424,014.70
  5. Step 5: Solve for x
    x = 51,424,014.70/9,691.74
  6. Step 6: Final answer
    x = 5,305.96

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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.