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Finding the Fourth Proportional to 9,729.77, 13,416.41 and 6,580.49

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Solution

The fourth proportional to 9,729.77, 13,416.41 and 6,580.49 is: 9,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.77 : 13,416.41 = 6,580.49 : x
  2. Step 2: Convert to fraction form
    9,729.77/13,416.41 = 6,580.49/x
  3. Step 3: Cross multiply
    9,729.77x = 13,416.41 × 6,580.49
  4. Step 4: Simplify right side
    9,729.77x = 88,286,518.94
  5. Step 5: Solve for x
    x = 88,286,518.94/9,729.77
  6. Step 6: Final answer
    x = 9,073.85

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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.