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Finding the Fourth Proportional to 9,193.90, 12,687.90 and 5,214.88

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Solution

The fourth proportional to 9,193.90, 12,687.90 and 5,214.88 is: 7,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.90 : 12,687.90 = 5,214.88 : x
  2. Step 2: Convert to fraction form
    9,193.90/12,687.90 = 5,214.88/x
  3. Step 3: Cross multiply
    9,193.90x = 12,687.90 × 5,214.88
  4. Step 4: Simplify right side
    9,193.90x = 66,165,875.95
  5. Step 5: Solve for x
    x = 66,165,875.95/9,193.90
  6. Step 6: Final answer
    x = 7,196.71

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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.