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Finding the Fourth Proportional to 8,922.25, 12,312.71 and 5,196.25

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Solution

The fourth proportional to 8,922.25, 12,312.71 and 5,196.25 is: 7,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.25 : 12,312.71 = 5,196.25 : x
  2. Step 2: Convert to fraction form
    8,922.25/12,312.71 = 5,196.25/x
  3. Step 3: Cross multiply
    8,922.25x = 12,312.71 × 5,196.25
  4. Step 4: Simplify right side
    8,922.25x = 63,979,919.34
  5. Step 5: Solve for x
    x = 63,979,919.34/8,922.25
  6. Step 6: Final answer
    x = 7,170.83

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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.