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Finding the Fourth Proportional to 9,781.52, 14,647.24 and 5,394.11

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Solution

The fourth proportional to 9,781.52, 14,647.24 and 5,394.11 is: 8,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.52 : 14,647.24 = 5,394.11 : x
  2. Step 2: Convert to fraction form
    9,781.52/14,647.24 = 5,394.11/x
  3. Step 3: Cross multiply
    9,781.52x = 14,647.24 × 5,394.11
  4. Step 4: Simplify right side
    9,781.52x = 79,008,796.79
  5. Step 5: Solve for x
    x = 79,008,796.79/9,781.52
  6. Step 6: Final answer
    x = 8,077.35

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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.