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Finding the Fourth Proportional to 9,919.17, 13,690.26 and 5,727.42

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Solution

The fourth proportional to 9,919.17, 13,690.26 and 5,727.42 is: 7,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.17 : 13,690.26 = 5,727.42 : x
  2. Step 2: Convert to fraction form
    9,919.17/13,690.26 = 5,727.42/x
  3. Step 3: Cross multiply
    9,919.17x = 13,690.26 × 5,727.42
  4. Step 4: Simplify right side
    9,919.17x = 78,409,868.93
  5. Step 5: Solve for x
    x = 78,409,868.93/9,919.17
  6. Step 6: Final answer
    x = 7,904.88

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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.