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Finding the Fourth Proportional to 9,907.97, 13,674.39 and 6,132.35

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Solution

The fourth proportional to 9,907.97, 13,674.39 and 6,132.35 is: 8,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.97 : 13,674.39 = 6,132.35 : x
  2. Step 2: Convert to fraction form
    9,907.97/13,674.39 = 6,132.35/x
  3. Step 3: Cross multiply
    9,907.97x = 13,674.39 × 6,132.35
  4. Step 4: Simplify right side
    9,907.97x = 83,856,077.14
  5. Step 5: Solve for x
    x = 83,856,077.14/9,907.97
  6. Step 6: Final answer
    x = 8,463.50

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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.