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Finding the Fourth Proportional to 8,922.83, 12,298.13 and 5,933.32

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Solution

The fourth proportional to 8,922.83, 12,298.13 and 5,933.32 is: 8,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.83 : 12,298.13 = 5,933.32 : x
  2. Step 2: Convert to fraction form
    8,922.83/12,298.13 = 5,933.32/x
  3. Step 3: Cross multiply
    8,922.83x = 12,298.13 × 5,933.32
  4. Step 4: Simplify right side
    8,922.83x = 72,968,702.53
  5. Step 5: Solve for x
    x = 72,968,702.53/8,922.83
  6. Step 6: Final answer
    x = 8,177.76

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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.