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Finding the Fourth Proportional to 9,818, 13,548.74 and 5,839.02

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Solution

The fourth proportional to 9,818, 13,548.74 and 5,839.02 is: 8,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818 : 13,548.74 = 5,839.02 : x
  2. Step 2: Convert to fraction form
    9,818/13,548.74 = 5,839.02/x
  3. Step 3: Cross multiply
    9,818x = 13,548.74 × 5,839.02
  4. Step 4: Simplify right side
    9,818x = 79,111,363.83
  5. Step 5: Solve for x
    x = 79,111,363.83/9,818
  6. Step 6: Final answer
    x = 8,057.79

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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.