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Finding the Fourth Proportional to 7,053.52, 9,733.58 and 3,909.64

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Solution

The fourth proportional to 7,053.52, 9,733.58 and 3,909.64 is: 5,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.52 : 9,733.58 = 3,909.64 : x
  2. Step 2: Convert to fraction form
    7,053.52/9,733.58 = 3,909.64/x
  3. Step 3: Cross multiply
    7,053.52x = 9,733.58 × 3,909.64
  4. Step 4: Simplify right side
    7,053.52x = 38,054,793.71
  5. Step 5: Solve for x
    x = 38,054,793.71/7,053.52
  6. Step 6: Final answer
    x = 5,395.15

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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.