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Finding the Fourth Proportional to 9,685.67, 14,535.02 and 3,445.76

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Solution

The fourth proportional to 9,685.67, 14,535.02 and 3,445.76 is: 5,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.67 : 14,535.02 = 3,445.76 : x
  2. Step 2: Convert to fraction form
    9,685.67/14,535.02 = 3,445.76/x
  3. Step 3: Cross multiply
    9,685.67x = 14,535.02 × 3,445.76
  4. Step 4: Simplify right side
    9,685.67x = 50,084,235.47
  5. Step 5: Solve for x
    x = 50,084,235.47/9,685.67
  6. Step 6: Final answer
    x = 5,170.97

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