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Finding the Fourth Proportional to 9,112.49, 13,618.80 and 6,652.49

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Solution

The fourth proportional to 9,112.49, 13,618.80 and 6,652.49 is: 9,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.49 : 13,618.80 = 6,652.49 : x
  2. Step 2: Convert to fraction form
    9,112.49/13,618.80 = 6,652.49/x
  3. Step 3: Cross multiply
    9,112.49x = 13,618.80 × 6,652.49
  4. Step 4: Simplify right side
    9,112.49x = 90,598,862.72
  5. Step 5: Solve for x
    x = 90,598,862.72/9,112.49
  6. Step 6: Final answer
    x = 9,942.28

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Why These Related Problems?

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