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Finding the Fourth Proportional to 6,212.90, 9,319.34 and 5,832.74

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Solution

The fourth proportional to 6,212.90, 9,319.34 and 5,832.74 is: 8,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.90 : 9,319.34 = 5,832.74 : x
  2. Step 2: Convert to fraction form
    6,212.90/9,319.34 = 5,832.74/x
  3. Step 3: Cross multiply
    6,212.90x = 9,319.34 × 5,832.74
  4. Step 4: Simplify right side
    6,212.90x = 54,357,255.18
  5. Step 5: Solve for x
    x = 54,357,255.18/6,212.90
  6. Step 6: Final answer
    x = 8,749.10

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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.