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Finding the Fourth Proportional to 6,385.31, 9,584 and 3,924.93

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Solution

The fourth proportional to 6,385.31, 9,584 and 3,924.93 is: 5,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.31 : 9,584 = 3,924.93 : x
  2. Step 2: Convert to fraction form
    6,385.31/9,584 = 3,924.93/x
  3. Step 3: Cross multiply
    6,385.31x = 9,584 × 3,924.93
  4. Step 4: Simplify right side
    6,385.31x = 37,616,529.12
  5. Step 5: Solve for x
    x = 37,616,529.12/6,385.31
  6. Step 6: Final answer
    x = 5,891.10

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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.