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Finding the Fourth Proportional to 6,957.36, 9,604.44 and 4,306.50

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Solution

The fourth proportional to 6,957.36, 9,604.44 and 4,306.50 is: 5,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.36 : 9,604.44 = 4,306.50 : x
  2. Step 2: Convert to fraction form
    6,957.36/9,604.44 = 4,306.50/x
  3. Step 3: Cross multiply
    6,957.36x = 9,604.44 × 4,306.50
  4. Step 4: Simplify right side
    6,957.36x = 41,361,520.86
  5. Step 5: Solve for x
    x = 41,361,520.86/6,957.36
  6. Step 6: Final answer
    x = 5,945.00

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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.