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Finding the Fourth Proportional to 6,840.80, 9,440.16 and 4,047.20

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Solution

The fourth proportional to 6,840.80, 9,440.16 and 4,047.20 is: 5,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.80 : 9,440.16 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    6,840.80/9,440.16 = 4,047.20/x
  3. Step 3: Cross multiply
    6,840.80x = 9,440.16 × 4,047.20
  4. Step 4: Simplify right side
    6,840.80x = 38,206,215.55
  5. Step 5: Solve for x
    x = 38,206,215.55/6,840.80
  6. Step 6: Final answer
    x = 5,585.05

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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.