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Finding the Fourth Proportional to 6,383.90, 9,584.13 and 4,924.10

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Solution

The fourth proportional to 6,383.90, 9,584.13 and 4,924.10 is: 7,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.90 : 9,584.13 = 4,924.10 : x
  2. Step 2: Convert to fraction form
    6,383.90/9,584.13 = 4,924.10/x
  3. Step 3: Cross multiply
    6,383.90x = 9,584.13 × 4,924.10
  4. Step 4: Simplify right side
    6,383.90x = 47,193,214.53
  5. Step 5: Solve for x
    x = 47,193,214.53/6,383.90
  6. Step 6: Final answer
    x = 7,392.54

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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.