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Finding the Fourth Proportional to 9,818.56, 13,549.50 and 5,839.74

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Solution

The fourth proportional to 9,818.56, 13,549.50 and 5,839.74 is: 8,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.56 : 13,549.50 = 5,839.74 : x
  2. Step 2: Convert to fraction form
    9,818.56/13,549.50 = 5,839.74/x
  3. Step 3: Cross multiply
    9,818.56x = 13,549.50 × 5,839.74
  4. Step 4: Simplify right side
    9,818.56x = 79,125,557.13
  5. Step 5: Solve for x
    x = 79,125,557.13/9,818.56
  6. Step 6: Final answer
    x = 8,058.78

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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.