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Finding the Fourth Proportional to 7,047.57, 9,728.40 and 4,065.96

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Solution

The fourth proportional to 7,047.57, 9,728.40 and 4,065.96 is: 5,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.57 : 9,728.40 = 4,065.96 : x
  2. Step 2: Convert to fraction form
    7,047.57/9,728.40 = 4,065.96/x
  3. Step 3: Cross multiply
    7,047.57x = 9,728.40 × 4,065.96
  4. Step 4: Simplify right side
    7,047.57x = 39,555,285.26
  5. Step 5: Solve for x
    x = 39,555,285.26/7,047.57
  6. Step 6: Final answer
    x = 5,612.61

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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.