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Finding the Fourth Proportional to 9,098.84, 12,557.59 and 5,120.75

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Solution

The fourth proportional to 9,098.84, 12,557.59 and 5,120.75 is: 7,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.84 : 12,557.59 = 5,120.75 : x
  2. Step 2: Convert to fraction form
    9,098.84/12,557.59 = 5,120.75/x
  3. Step 3: Cross multiply
    9,098.84x = 12,557.59 × 5,120.75
  4. Step 4: Simplify right side
    9,098.84x = 64,304,297.58
  5. Step 5: Solve for x
    x = 64,304,297.58/9,098.84
  6. Step 6: Final answer
    x = 7,067.31

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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.