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Finding the Fourth Proportional to 7,053.76, 9,734.07 and 3,909.88

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Solution

The fourth proportional to 7,053.76, 9,734.07 and 3,909.88 is: 5,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.76 : 9,734.07 = 3,909.88 : x
  2. Step 2: Convert to fraction form
    7,053.76/9,734.07 = 3,909.88/x
  3. Step 3: Cross multiply
    7,053.76x = 9,734.07 × 3,909.88
  4. Step 4: Simplify right side
    7,053.76x = 38,059,045.61
  5. Step 5: Solve for x
    x = 38,059,045.61/7,053.76
  6. Step 6: Final answer
    x = 5,395.57

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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.