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Finding the Fourth Proportional to 9,838.24, 14,718.96 and 6,268.24

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Solution

The fourth proportional to 9,838.24, 14,718.96 and 6,268.24 is: 9,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.24 : 14,718.96 = 6,268.24 : x
  2. Step 2: Convert to fraction form
    9,838.24/14,718.96 = 6,268.24/x
  3. Step 3: Cross multiply
    9,838.24x = 14,718.96 × 6,268.24
  4. Step 4: Simplify right side
    9,838.24x = 92,261,973.83
  5. Step 5: Solve for x
    x = 92,261,973.83/9,838.24
  6. Step 6: Final answer
    x = 9,377.89

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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.