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Finding the Fourth Proportional to 6,716.04, 9,272.66 and 6,005.67

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Solution

The fourth proportional to 6,716.04, 9,272.66 and 6,005.67 is: 8,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.04 : 9,272.66 = 6,005.67 : x
  2. Step 2: Convert to fraction form
    6,716.04/9,272.66 = 6,005.67/x
  3. Step 3: Cross multiply
    6,716.04x = 9,272.66 × 6,005.67
  4. Step 4: Simplify right side
    6,716.04x = 55,688,505.95
  5. Step 5: Solve for x
    x = 55,688,505.95/6,716.04
  6. Step 6: Final answer
    x = 8,291.87

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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.