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Finding the Fourth Proportional to 6,117.86, 8,442.69 and 3,323.36

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Solution

The fourth proportional to 6,117.86, 8,442.69 and 3,323.36 is: 4,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.86 : 8,442.69 = 3,323.36 : x
  2. Step 2: Convert to fraction form
    6,117.86/8,442.69 = 3,323.36/x
  3. Step 3: Cross multiply
    6,117.86x = 8,442.69 × 3,323.36
  4. Step 4: Simplify right side
    6,117.86x = 28,058,098.24
  5. Step 5: Solve for x
    x = 28,058,098.24/6,117.86
  6. Step 6: Final answer
    x = 4,586.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.