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Finding the Fourth Proportional to 9,983, 14,974.44 and 2,587.44

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Solution

The fourth proportional to 9,983, 14,974.44 and 2,587.44 is: 3,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983 : 14,974.44 = 2,587.44 : x
  2. Step 2: Convert to fraction form
    9,983/14,974.44 = 2,587.44/x
  3. Step 3: Cross multiply
    9,983x = 14,974.44 × 2,587.44
  4. Step 4: Simplify right side
    9,983x = 38,745,465.03
  5. Step 5: Solve for x
    x = 38,745,465.03/9,983
  6. Step 6: Final answer
    x = 3,881.14

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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.