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Finding the Fourth Proportional to 6,396.18, 9,590.31 and 2,496

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Solution

The fourth proportional to 6,396.18, 9,590.31 and 2,496 is: 3,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.18 : 9,590.31 = 2,496 : x
  2. Step 2: Convert to fraction form
    6,396.18/9,590.31 = 2,496/x
  3. Step 3: Cross multiply
    6,396.18x = 9,590.31 × 2,496
  4. Step 4: Simplify right side
    6,396.18x = 23,937,413.76
  5. Step 5: Solve for x
    x = 23,937,413.76/6,396.18
  6. Step 6: Final answer
    x = 3,742.45

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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.