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Finding the Fourth Proportional to 6,732.35, 9,287.45 and 4,744.00

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Solution

The fourth proportional to 6,732.35, 9,287.45 and 4,744.00 is: 6,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.35 : 9,287.45 = 4,744.00 : x
  2. Step 2: Convert to fraction form
    6,732.35/9,287.45 = 4,744.00/x
  3. Step 3: Cross multiply
    6,732.35x = 9,287.45 × 4,744.00
  4. Step 4: Simplify right side
    6,732.35x = 44,059,592.64
  5. Step 5: Solve for x
    x = 44,059,592.64/6,732.35
  6. Step 6: Final answer
    x = 6,544.46

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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.