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Finding the Fourth Proportional to 6,117.90, 8,442.69 and 3,323.40

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Solution

The fourth proportional to 6,117.90, 8,442.69 and 3,323.40 is: 4,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.90 : 8,442.69 = 3,323.40 : x
  2. Step 2: Convert to fraction form
    6,117.90/8,442.69 = 3,323.40/x
  3. Step 3: Cross multiply
    6,117.90x = 8,442.69 × 3,323.40
  4. Step 4: Simplify right side
    6,117.90x = 28,058,391.82
  5. Step 5: Solve for x
    x = 28,058,391.82/6,117.90
  6. Step 6: Final answer
    x = 4,586.28

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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.