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Finding the Fourth Proportional to 7,061.38, 9,743.43 and 4,077.34

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Solution

The fourth proportional to 7,061.38, 9,743.43 and 4,077.34 is: 5,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.38 : 9,743.43 = 4,077.34 : x
  2. Step 2: Convert to fraction form
    7,061.38/9,743.43 = 4,077.34/x
  3. Step 3: Cross multiply
    7,061.38x = 9,743.43 × 4,077.34
  4. Step 4: Simplify right side
    7,061.38x = 39,727,276.88
  5. Step 5: Solve for x
    x = 39,727,276.88/7,061.38
  6. Step 6: Final answer
    x = 5,625.99

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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.