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Finding the Fourth Proportional to 6,917.34, 9,545.96 and 3,773.46

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Solution

The fourth proportional to 6,917.34, 9,545.96 and 3,773.46 is: 5,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.34 : 9,545.96 = 3,773.46 : x
  2. Step 2: Convert to fraction form
    6,917.34/9,545.96 = 3,773.46/x
  3. Step 3: Cross multiply
    6,917.34x = 9,545.96 × 3,773.46
  4. Step 4: Simplify right side
    6,917.34x = 36,021,298.22
  5. Step 5: Solve for x
    x = 36,021,298.22/6,917.34
  6. Step 6: Final answer
    x = 5,207.39

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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.