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Finding the Fourth Proportional to 9,919.64, 14,877.84 and 3,678.19

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Solution

The fourth proportional to 9,919.64, 14,877.84 and 3,678.19 is: 5,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.64 : 14,877.84 = 3,678.19 : x
  2. Step 2: Convert to fraction form
    9,919.64/14,877.84 = 3,678.19/x
  3. Step 3: Cross multiply
    9,919.64x = 14,877.84 × 3,678.19
  4. Step 4: Simplify right side
    9,919.64x = 54,723,485.12
  5. Step 5: Solve for x
    x = 54,723,485.12/9,919.64
  6. Step 6: Final answer
    x = 5,516.68

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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.