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Finding the Fourth Proportional to 7,203.62, 9,938.71 and 4,059.20

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Solution

The fourth proportional to 7,203.62, 9,938.71 and 4,059.20 is: 5,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.62 : 9,938.71 = 4,059.20 : x
  2. Step 2: Convert to fraction form
    7,203.62/9,938.71 = 4,059.20/x
  3. Step 3: Cross multiply
    7,203.62x = 9,938.71 × 4,059.20
  4. Step 4: Simplify right side
    7,203.62x = 40,343,211.63
  5. Step 5: Solve for x
    x = 40,343,211.63/7,203.62
  6. Step 6: Final answer
    x = 5,600.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.