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Finding the Fourth Proportional to 9,924.42, 14,863.16 and 8,618.90

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Solution

The fourth proportional to 9,924.42, 14,863.16 and 8,618.90 is: 12,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.42 : 14,863.16 = 8,618.90 : x
  2. Step 2: Convert to fraction form
    9,924.42/14,863.16 = 8,618.90/x
  3. Step 3: Cross multiply
    9,924.42x = 14,863.16 × 8,618.90
  4. Step 4: Simplify right side
    9,924.42x = 128,104,089.72
  5. Step 5: Solve for x
    x = 128,104,089.72/9,924.42
  6. Step 6: Final answer
    x = 12,907.97

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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.