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Finding the Fourth Proportional to 9,839.76, 13,572.80 and 5,858.16

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Solution

The fourth proportional to 9,839.76, 13,572.80 and 5,858.16 is: 8,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.76 : 13,572.80 = 5,858.16 : x
  2. Step 2: Convert to fraction form
    9,839.76/13,572.80 = 5,858.16/x
  3. Step 3: Cross multiply
    9,839.76x = 13,572.80 × 5,858.16
  4. Step 4: Simplify right side
    9,839.76x = 79,511,634.05
  5. Step 5: Solve for x
    x = 79,511,634.05/9,839.76
  6. Step 6: Final answer
    x = 8,080.65

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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.