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Finding the Fourth Proportional to 7,053.92, 9,733.12 and 4,069.88

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Solution

The fourth proportional to 7,053.92, 9,733.12 and 4,069.88 is: 5,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.92 : 9,733.12 = 4,069.88 : x
  2. Step 2: Convert to fraction form
    7,053.92/9,733.12 = 4,069.88/x
  3. Step 3: Cross multiply
    7,053.92x = 9,733.12 × 4,069.88
  4. Step 4: Simplify right side
    7,053.92x = 39,612,630.43
  5. Step 5: Solve for x
    x = 39,612,630.43/7,053.92
  6. Step 6: Final answer
    x = 5,615.69

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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.