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Finding the Fourth Proportional to 6,256.32, 9,385.76 and 3,138.36

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Solution

The fourth proportional to 6,256.32, 9,385.76 and 3,138.36 is: 4,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.32 : 9,385.76 = 3,138.36 : x
  2. Step 2: Convert to fraction form
    6,256.32/9,385.76 = 3,138.36/x
  3. Step 3: Cross multiply
    6,256.32x = 9,385.76 × 3,138.36
  4. Step 4: Simplify right side
    6,256.32x = 29,455,893.75
  5. Step 5: Solve for x
    x = 29,455,893.75/6,256.32
  6. Step 6: Final answer
    x = 4,708.18

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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.