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Finding the Fourth Proportional to 9,569.43, 14,348.62 and 3,719.20

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Solution

The fourth proportional to 9,569.43, 14,348.62 and 3,719.20 is: 5,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.43 : 14,348.62 = 3,719.20 : x
  2. Step 2: Convert to fraction form
    9,569.43/14,348.62 = 3,719.20/x
  3. Step 3: Cross multiply
    9,569.43x = 14,348.62 × 3,719.20
  4. Step 4: Simplify right side
    9,569.43x = 53,365,387.50
  5. Step 5: Solve for x
    x = 53,365,387.50/9,569.43
  6. Step 6: Final answer
    x = 5,576.65

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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.