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Finding the Fourth Proportional to 6,742.70, 9,301.12 and 4,254.38

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Solution

The fourth proportional to 6,742.70, 9,301.12 and 4,254.38 is: 5,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.70 : 9,301.12 = 4,254.38 : x
  2. Step 2: Convert to fraction form
    6,742.70/9,301.12 = 4,254.38/x
  3. Step 3: Cross multiply
    6,742.70x = 9,301.12 × 4,254.38
  4. Step 4: Simplify right side
    6,742.70x = 39,570,441.76
  5. Step 5: Solve for x
    x = 39,570,441.76/6,742.70
  6. Step 6: Final answer
    x = 5,868.64

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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.