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Finding the Fourth Proportional to 7,053.14, 9,733.33 and 3,909.30

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Solution

The fourth proportional to 7,053.14, 9,733.33 and 3,909.30 is: 5,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.14 : 9,733.33 = 3,909.30 : x
  2. Step 2: Convert to fraction form
    7,053.14/9,733.33 = 3,909.30/x
  3. Step 3: Cross multiply
    7,053.14x = 9,733.33 × 3,909.30
  4. Step 4: Simplify right side
    7,053.14x = 38,050,506.97
  5. Step 5: Solve for x
    x = 38,050,506.97/7,053.14
  6. Step 6: Final answer
    x = 5,394.83

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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.