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Finding the Fourth Proportional to 9,384.80, 14,077.20 and 3,143.66

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Solution

The fourth proportional to 9,384.80, 14,077.20 and 3,143.66 is: 4,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.80 : 14,077.20 = 3,143.66 : x
  2. Step 2: Convert to fraction form
    9,384.80/14,077.20 = 3,143.66/x
  3. Step 3: Cross multiply
    9,384.80x = 14,077.20 × 3,143.66
  4. Step 4: Simplify right side
    9,384.80x = 44,253,860.17
  5. Step 5: Solve for x
    x = 44,253,860.17/9,384.80
  6. Step 6: Final answer
    x = 4,715.49

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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.