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Finding the Fourth Proportional to 9,987.35, 13,780.07 and 6,105.78

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Solution

The fourth proportional to 9,987.35, 13,780.07 and 6,105.78 is: 8,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.35 : 13,780.07 = 6,105.78 : x
  2. Step 2: Convert to fraction form
    9,987.35/13,780.07 = 6,105.78/x
  3. Step 3: Cross multiply
    9,987.35x = 13,780.07 × 6,105.78
  4. Step 4: Simplify right side
    9,987.35x = 84,138,006.90
  5. Step 5: Solve for x
    x = 84,138,006.90/9,987.35
  6. Step 6: Final answer
    x = 8,424.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.