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Finding the Fourth Proportional to 9,918.85, 13,687.56 and 5,442.49

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Solution

The fourth proportional to 9,918.85, 13,687.56 and 5,442.49 is: 7,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.85 : 13,687.56 = 5,442.49 : x
  2. Step 2: Convert to fraction form
    9,918.85/13,687.56 = 5,442.49/x
  3. Step 3: Cross multiply
    9,918.85x = 13,687.56 × 5,442.49
  4. Step 4: Simplify right side
    9,918.85x = 74,494,381.21
  5. Step 5: Solve for x
    x = 74,494,381.21/9,918.85
  6. Step 6: Final answer
    x = 7,510.38

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Why These Related Problems?

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