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Finding the Fourth Proportional to 6,364.08, 9,549.36 and 5,882.96

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Solution

The fourth proportional to 6,364.08, 9,549.36 and 5,882.96 is: 8,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.08 : 9,549.36 = 5,882.96 : x
  2. Step 2: Convert to fraction form
    6,364.08/9,549.36 = 5,882.96/x
  3. Step 3: Cross multiply
    6,364.08x = 9,549.36 × 5,882.96
  4. Step 4: Simplify right side
    6,364.08x = 56,178,502.91
  5. Step 5: Solve for x
    x = 56,178,502.91/6,364.08
  6. Step 6: Final answer
    x = 8,827.44

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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.