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Finding the Fourth Proportional to 6,707.21, 9,245.24 and 5,288.69

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Solution

The fourth proportional to 6,707.21, 9,245.24 and 5,288.69 is: 7,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.21 : 9,245.24 = 5,288.69 : x
  2. Step 2: Convert to fraction form
    6,707.21/9,245.24 = 5,288.69/x
  3. Step 3: Cross multiply
    6,707.21x = 9,245.24 × 5,288.69
  4. Step 4: Simplify right side
    6,707.21x = 48,895,224.84
  5. Step 5: Solve for x
    x = 48,895,224.84/6,707.21
  6. Step 6: Final answer
    x = 7,289.96

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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.