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Finding the Fourth Proportional to 9,919.84, 13,685.04 and 6,142

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Solution

The fourth proportional to 9,919.84, 13,685.04 and 6,142 is: 8,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.84 : 13,685.04 = 6,142 : x
  2. Step 2: Convert to fraction form
    9,919.84/13,685.04 = 6,142/x
  3. Step 3: Cross multiply
    9,919.84x = 13,685.04 × 6,142
  4. Step 4: Simplify right side
    9,919.84x = 84,053,515.68
  5. Step 5: Solve for x
    x = 84,053,515.68/9,919.84
  6. Step 6: Final answer
    x = 8,473.27

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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.