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Finding the Fourth Proportional to 9,985.68, 13,786.16 and 8,878.60

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Solution

The fourth proportional to 9,985.68, 13,786.16 and 8,878.60 is: 12,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.68 : 13,786.16 = 8,878.60 : x
  2. Step 2: Convert to fraction form
    9,985.68/13,786.16 = 8,878.60/x
  3. Step 3: Cross multiply
    9,985.68x = 13,786.16 × 8,878.60
  4. Step 4: Simplify right side
    9,985.68x = 122,401,800.18
  5. Step 5: Solve for x
    x = 122,401,800.18/9,985.68
  6. Step 6: Final answer
    x = 12,257.73

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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.