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Finding the Fourth Proportional to 6,738.72, 10,097.04 and 6,482.72

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Solution

The fourth proportional to 6,738.72, 10,097.04 and 6,482.72 is: 9,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.72 : 10,097.04 = 6,482.72 : x
  2. Step 2: Convert to fraction form
    6,738.72/10,097.04 = 6,482.72/x
  3. Step 3: Cross multiply
    6,738.72x = 10,097.04 × 6,482.72
  4. Step 4: Simplify right side
    6,738.72x = 65,456,283.15
  5. Step 5: Solve for x
    x = 65,456,283.15/6,738.72
  6. Step 6: Final answer
    x = 9,713.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.