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Finding the Fourth Proportional to 6,482.04, 9,724 and 3,195.33

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Solution

The fourth proportional to 6,482.04, 9,724 and 3,195.33 is: 4,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.04 : 9,724 = 3,195.33 : x
  2. Step 2: Convert to fraction form
    6,482.04/9,724 = 3,195.33/x
  3. Step 3: Cross multiply
    6,482.04x = 9,724 × 3,195.33
  4. Step 4: Simplify right side
    6,482.04x = 31,071,388.92
  5. Step 5: Solve for x
    x = 31,071,388.92/6,482.04
  6. Step 6: Final answer
    x = 4,793.46

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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.