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Finding the Fourth Proportional to 6,325.50, 9,482.76 and 3,400.38

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Solution

The fourth proportional to 6,325.50, 9,482.76 and 3,400.38 is: 5,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.50 : 9,482.76 = 3,400.38 : x
  2. Step 2: Convert to fraction form
    6,325.50/9,482.76 = 3,400.38/x
  3. Step 3: Cross multiply
    6,325.50x = 9,482.76 × 3,400.38
  4. Step 4: Simplify right side
    6,325.50x = 32,244,987.45
  5. Step 5: Solve for x
    x = 32,244,987.45/6,325.50
  6. Step 6: Final answer
    x = 5,097.62

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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.