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Finding the Fourth Proportional to 9,919.26, 13,690.35 and 5,727.51

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Solution

The fourth proportional to 9,919.26, 13,690.35 and 5,727.51 is: 7,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.26 : 13,690.35 = 5,727.51 : x
  2. Step 2: Convert to fraction form
    9,919.26/13,690.35 = 5,727.51/x
  3. Step 3: Cross multiply
    9,919.26x = 13,690.35 × 5,727.51
  4. Step 4: Simplify right side
    9,919.26x = 78,411,616.53
  5. Step 5: Solve for x
    x = 78,411,616.53/9,919.26
  6. Step 6: Final answer
    x = 7,904.99

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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.