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Finding the Fourth Proportional to 9,866.88, 13,613.92 and 6,280.64

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Solution

The fourth proportional to 9,866.88, 13,613.92 and 6,280.64 is: 8,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.88 : 13,613.92 = 6,280.64 : x
  2. Step 2: Convert to fraction form
    9,866.88/13,613.92 = 6,280.64/x
  3. Step 3: Cross multiply
    9,866.88x = 13,613.92 × 6,280.64
  4. Step 4: Simplify right side
    9,866.88x = 85,504,130.51
  5. Step 5: Solve for x
    x = 85,504,130.51/9,866.88
  6. Step 6: Final answer
    x = 8,665.77

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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.