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Finding the Fourth Proportional to 9,546.90, 14,250.08 and 8,878.38

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Solution

The fourth proportional to 9,546.90, 14,250.08 and 8,878.38 is: 13,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.90 : 14,250.08 = 8,878.38 : x
  2. Step 2: Convert to fraction form
    9,546.90/14,250.08 = 8,878.38/x
  3. Step 3: Cross multiply
    9,546.90x = 14,250.08 × 8,878.38
  4. Step 4: Simplify right side
    9,546.90x = 126,517,580.88
  5. Step 5: Solve for x
    x = 126,517,580.88/9,546.90
  6. Step 6: Final answer
    x = 13,252.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.