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Finding the Fourth Proportional to 8,282.51, 12,376.43 and 6,297.23

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Solution

The fourth proportional to 8,282.51, 12,376.43 and 6,297.23 is: 9,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.51 : 12,376.43 = 6,297.23 : x
  2. Step 2: Convert to fraction form
    8,282.51/12,376.43 = 6,297.23/x
  3. Step 3: Cross multiply
    8,282.51x = 12,376.43 × 6,297.23
  4. Step 4: Simplify right side
    8,282.51x = 77,937,132.92
  5. Step 5: Solve for x
    x = 77,937,132.92/8,282.51
  6. Step 6: Final answer
    x = 9,409.85

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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.