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Finding the Fourth Proportional to 9,981, 14,971.44 and 2,585.44

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Solution

The fourth proportional to 9,981, 14,971.44 and 2,585.44 is: 3,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 14,971.44 = 2,585.44 : x
  2. Step 2: Convert to fraction form
    9,981/14,971.44 = 2,585.44/x
  3. Step 3: Cross multiply
    9,981x = 14,971.44 × 2,585.44
  4. Step 4: Simplify right side
    9,981x = 38,707,759.83
  5. Step 5: Solve for x
    x = 38,707,759.83/9,981
  6. Step 6: Final answer
    x = 3,878.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.