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Finding the Fourth Proportional to 9,193.88, 12,688.19 and 5,215.25

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Solution

The fourth proportional to 9,193.88, 12,688.19 and 5,215.25 is: 7,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.88 : 12,688.19 = 5,215.25 : x
  2. Step 2: Convert to fraction form
    9,193.88/12,688.19 = 5,215.25/x
  3. Step 3: Cross multiply
    9,193.88x = 12,688.19 × 5,215.25
  4. Step 4: Simplify right side
    9,193.88x = 66,172,082.90
  5. Step 5: Solve for x
    x = 66,172,082.90/9,193.88
  6. Step 6: Final answer
    x = 7,197.41

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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.