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Finding the Fourth Proportional to 9,985.92, 13,781.01 and 5,738.35

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Solution

The fourth proportional to 9,985.92, 13,781.01 and 5,738.35 is: 7,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.92 : 13,781.01 = 5,738.35 : x
  2. Step 2: Convert to fraction form
    9,985.92/13,781.01 = 5,738.35/x
  3. Step 3: Cross multiply
    9,985.92x = 13,781.01 × 5,738.35
  4. Step 4: Simplify right side
    9,985.92x = 79,080,294.26
  5. Step 5: Solve for x
    x = 79,080,294.26/9,985.92
  6. Step 6: Final answer
    x = 7,919.18

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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.