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Finding the Fourth Proportional to 6,325.48, 9,482.76 and 3,400.40

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Solution

The fourth proportional to 6,325.48, 9,482.76 and 3,400.40 is: 5,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.48 : 9,482.76 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    6,325.48/9,482.76 = 3,400.40/x
  3. Step 3: Cross multiply
    6,325.48x = 9,482.76 × 3,400.40
  4. Step 4: Simplify right side
    6,325.48x = 32,245,177.10
  5. Step 5: Solve for x
    x = 32,245,177.10/6,325.48
  6. Step 6: Final answer
    x = 5,097.66

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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.