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Finding the Fourth Proportional to 9,870.69, 13,619.84 and 5,891.57

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Solution

The fourth proportional to 9,870.69, 13,619.84 and 5,891.57 is: 8,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.69 : 13,619.84 = 5,891.57 : x
  2. Step 2: Convert to fraction form
    9,870.69/13,619.84 = 5,891.57/x
  3. Step 3: Cross multiply
    9,870.69x = 13,619.84 × 5,891.57
  4. Step 4: Simplify right side
    9,870.69x = 80,242,143.19
  5. Step 5: Solve for x
    x = 80,242,143.19/9,870.69
  6. Step 6: Final answer
    x = 8,129.33

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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.