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Finding the Fourth Proportional to 9,908.47, 13,675.08 and 6,132.84

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Solution

The fourth proportional to 9,908.47, 13,675.08 and 6,132.84 is: 8,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.47 : 13,675.08 = 6,132.84 : x
  2. Step 2: Convert to fraction form
    9,908.47/13,675.08 = 6,132.84/x
  3. Step 3: Cross multiply
    9,908.47x = 13,675.08 × 6,132.84
  4. Step 4: Simplify right side
    9,908.47x = 83,867,077.63
  5. Step 5: Solve for x
    x = 83,867,077.63/9,908.47
  6. Step 6: Final answer
    x = 8,464.18

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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.