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Finding the Fourth Proportional to 9,868.46, 13,616.99 and 5,619.68

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Solution

The fourth proportional to 9,868.46, 13,616.99 and 5,619.68 is: 7,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.46 : 13,616.99 = 5,619.68 : x
  2. Step 2: Convert to fraction form
    9,868.46/13,616.99 = 5,619.68/x
  3. Step 3: Cross multiply
    9,868.46x = 13,616.99 × 5,619.68
  4. Step 4: Simplify right side
    9,868.46x = 76,523,184.45
  5. Step 5: Solve for x
    x = 76,523,184.45/9,868.46
  6. Step 6: Final answer
    x = 7,754.32

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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.