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Finding the Fourth Proportional to 9,494.82, 14,232.96 and 4,561.65

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Solution

The fourth proportional to 9,494.82, 14,232.96 and 4,561.65 is: 6,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.82 : 14,232.96 = 4,561.65 : x
  2. Step 2: Convert to fraction form
    9,494.82/14,232.96 = 4,561.65/x
  3. Step 3: Cross multiply
    9,494.82x = 14,232.96 × 4,561.65
  4. Step 4: Simplify right side
    9,494.82x = 64,925,781.98
  5. Step 5: Solve for x
    x = 64,925,781.98/9,494.82
  6. Step 6: Final answer
    x = 6,838.02

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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.