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Finding the Fourth Proportional to 9,870.13, 13,619.46 and 6,338.12

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Solution

The fourth proportional to 9,870.13, 13,619.46 and 6,338.12 is: 8,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.13 : 13,619.46 = 6,338.12 : x
  2. Step 2: Convert to fraction form
    9,870.13/13,619.46 = 6,338.12/x
  3. Step 3: Cross multiply
    9,870.13x = 13,619.46 × 6,338.12
  4. Step 4: Simplify right side
    9,870.13x = 86,321,805.86
  5. Step 5: Solve for x
    x = 86,321,805.86/9,870.13
  6. Step 6: Final answer
    x = 8,745.76

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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.