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Finding the Fourth Proportional to 9,690.34, 13,372.23 and 5,383.15

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Solution

The fourth proportional to 9,690.34, 13,372.23 and 5,383.15 is: 7,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.34 : 13,372.23 = 5,383.15 : x
  2. Step 2: Convert to fraction form
    9,690.34/13,372.23 = 5,383.15/x
  3. Step 3: Cross multiply
    9,690.34x = 13,372.23 × 5,383.15
  4. Step 4: Simplify right side
    9,690.34x = 71,984,719.92
  5. Step 5: Solve for x
    x = 71,984,719.92/9,690.34
  6. Step 6: Final answer
    x = 7,428.50

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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.