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Finding the Fourth Proportional to 7,053, 9,733.14 and 3,909.39

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Solution

The fourth proportional to 7,053, 9,733.14 and 3,909.39 is: 5,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053 : 9,733.14 = 3,909.39 : x
  2. Step 2: Convert to fraction form
    7,053/9,733.14 = 3,909.39/x
  3. Step 3: Cross multiply
    7,053x = 9,733.14 × 3,909.39
  4. Step 4: Simplify right side
    7,053x = 38,050,640.18
  5. Step 5: Solve for x
    x = 38,050,640.18/7,053
  6. Step 6: Final answer
    x = 5,394.96

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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.