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Finding the Fourth Proportional to 9,712.34, 13,391.57 and 6,647.67

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Solution

The fourth proportional to 9,712.34, 13,391.57 and 6,647.67 is: 9,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.34 : 13,391.57 = 6,647.67 : x
  2. Step 2: Convert to fraction form
    9,712.34/13,391.57 = 6,647.67/x
  3. Step 3: Cross multiply
    9,712.34x = 13,391.57 × 6,647.67
  4. Step 4: Simplify right side
    9,712.34x = 89,022,780.05
  5. Step 5: Solve for x
    x = 89,022,780.05/9,712.34
  6. Step 6: Final answer
    x = 9,165.94

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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.