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Finding the Fourth Proportional to 8,306.35, 12,434.92 and 5,009.45

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Solution

The fourth proportional to 8,306.35, 12,434.92 and 5,009.45 is: 7,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.35 : 12,434.92 = 5,009.45 : x
  2. Step 2: Convert to fraction form
    8,306.35/12,434.92 = 5,009.45/x
  3. Step 3: Cross multiply
    8,306.35x = 12,434.92 × 5,009.45
  4. Step 4: Simplify right side
    8,306.35x = 62,292,035.30
  5. Step 5: Solve for x
    x = 62,292,035.30/8,306.35
  6. Step 6: Final answer
    x = 7,499.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.