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Finding the Fourth Proportional to 6,238.64, 9,358.68 and 1,856.72

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Solution

The fourth proportional to 6,238.64, 9,358.68 and 1,856.72 is: 2,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.64 : 9,358.68 = 1,856.72 : x
  2. Step 2: Convert to fraction form
    6,238.64/9,358.68 = 1,856.72/x
  3. Step 3: Cross multiply
    6,238.64x = 9,358.68 × 1,856.72
  4. Step 4: Simplify right side
    6,238.64x = 17,376,448.33
  5. Step 5: Solve for x
    x = 17,376,448.33/6,238.64
  6. Step 6: Final answer
    x = 2,785.29

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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.