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Finding the Fourth Proportional to 9,282.02, 12,798.41 and 6,451.82

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Solution

The fourth proportional to 9,282.02, 12,798.41 and 6,451.82 is: 8,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.02 : 12,798.41 = 6,451.82 : x
  2. Step 2: Convert to fraction form
    9,282.02/12,798.41 = 6,451.82/x
  3. Step 3: Cross multiply
    9,282.02x = 12,798.41 × 6,451.82
  4. Step 4: Simplify right side
    9,282.02x = 82,572,989.74
  5. Step 5: Solve for x
    x = 82,572,989.74/9,282.02
  6. Step 6: Final answer
    x = 8,896.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.