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Finding the Fourth Proportional to 6,364.24, 9,549.09 and 4,527.16

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Solution

The fourth proportional to 6,364.24, 9,549.09 and 4,527.16 is: 6,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.24 : 9,549.09 = 4,527.16 : x
  2. Step 2: Convert to fraction form
    6,364.24/9,549.09 = 4,527.16/x
  3. Step 3: Cross multiply
    6,364.24x = 9,549.09 × 4,527.16
  4. Step 4: Simplify right side
    6,364.24x = 43,230,234.41
  5. Step 5: Solve for x
    x = 43,230,234.41/6,364.24
  6. Step 6: Final answer
    x = 6,792.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.