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Finding the Fourth Proportional to 9,907.88, 13,674.29 and 6,132.26

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Solution

The fourth proportional to 9,907.88, 13,674.29 and 6,132.26 is: 8,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.88 : 13,674.29 = 6,132.26 : x
  2. Step 2: Convert to fraction form
    9,907.88/13,674.29 = 6,132.26/x
  3. Step 3: Cross multiply
    9,907.88x = 13,674.29 × 6,132.26
  4. Step 4: Simplify right side
    9,907.88x = 83,854,270.93
  5. Step 5: Solve for x
    x = 83,854,270.93/9,907.88
  6. Step 6: Final answer
    x = 8,463.39

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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.