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Finding the Fourth Proportional to 6,412.86, 9,608.35 and 5,180.85

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Solution

The fourth proportional to 6,412.86, 9,608.35 and 5,180.85 is: 7,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.86 : 9,608.35 = 5,180.85 : x
  2. Step 2: Convert to fraction form
    6,412.86/9,608.35 = 5,180.85/x
  3. Step 3: Cross multiply
    6,412.86x = 9,608.35 × 5,180.85
  4. Step 4: Simplify right side
    6,412.86x = 49,779,420.10
  5. Step 5: Solve for x
    x = 49,779,420.10/6,412.86
  6. Step 6: Final answer
    x = 7,762.44

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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.