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Finding the Fourth Proportional to 10,067.90, 13,888.10 and 9,355.16

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Solution

The fourth proportional to 10,067.90, 13,888.10 and 9,355.16 is: 12,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.90 : 13,888.10 = 9,355.16 : x
  2. Step 2: Convert to fraction form
    10,067.90/13,888.10 = 9,355.16/x
  3. Step 3: Cross multiply
    10,067.90x = 13,888.10 × 9,355.16
  4. Step 4: Simplify right side
    10,067.90x = 129,925,351.27
  5. Step 5: Solve for x
    x = 129,925,351.27/10,067.90
  6. Step 6: Final answer
    x = 12,904.92

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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.