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Finding the Fourth Proportional to 6,297.12, 9,396.48 and 5,641.20

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Solution

The fourth proportional to 6,297.12, 9,396.48 and 5,641.20 is: 8,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.12 : 9,396.48 = 5,641.20 : x
  2. Step 2: Convert to fraction form
    6,297.12/9,396.48 = 5,641.20/x
  3. Step 3: Cross multiply
    6,297.12x = 9,396.48 × 5,641.20
  4. Step 4: Simplify right side
    6,297.12x = 53,007,422.98
  5. Step 5: Solve for x
    x = 53,007,422.98/6,297.12
  6. Step 6: Final answer
    x = 8,417.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.