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Finding the Fourth Proportional to 9,785.78, 14,678.69 and 2,390.24

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Solution

The fourth proportional to 9,785.78, 14,678.69 and 2,390.24 is: 3,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.78 : 14,678.69 = 2,390.24 : x
  2. Step 2: Convert to fraction form
    9,785.78/14,678.69 = 2,390.24/x
  3. Step 3: Cross multiply
    9,785.78x = 14,678.69 × 2,390.24
  4. Step 4: Simplify right side
    9,785.78x = 35,085,616.73
  5. Step 5: Solve for x
    x = 35,085,616.73/9,785.78
  6. Step 6: Final answer
    x = 3,585.37

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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.