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Finding the Fourth Proportional to 9,806.31, 14,708.78 and 5,643.24

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Solution

The fourth proportional to 9,806.31, 14,708.78 and 5,643.24 is: 8,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.31 : 14,708.78 = 5,643.24 : x
  2. Step 2: Convert to fraction form
    9,806.31/14,708.78 = 5,643.24/x
  3. Step 3: Cross multiply
    9,806.31x = 14,708.78 × 5,643.24
  4. Step 4: Simplify right side
    9,806.31x = 83,005,175.65
  5. Step 5: Solve for x
    x = 83,005,175.65/9,806.31
  6. Step 6: Final answer
    x = 8,464.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.