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Finding the Fourth Proportional to 9,373.80, 14,061.66 and 3,217

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Solution

The fourth proportional to 9,373.80, 14,061.66 and 3,217 is: 4,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.80 : 14,061.66 = 3,217 : x
  2. Step 2: Convert to fraction form
    9,373.80/14,061.66 = 3,217/x
  3. Step 3: Cross multiply
    9,373.80x = 14,061.66 × 3,217
  4. Step 4: Simplify right side
    9,373.80x = 45,236,360.22
  5. Step 5: Solve for x
    x = 45,236,360.22/9,373.80
  6. Step 6: Final answer
    x = 4,825.83

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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.