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Finding the Fourth Proportional to 9,766.94, 13,476.04 and 5,518.08

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Solution

The fourth proportional to 9,766.94, 13,476.04 and 5,518.08 is: 7,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.94 : 13,476.04 = 5,518.08 : x
  2. Step 2: Convert to fraction form
    9,766.94/13,476.04 = 5,518.08/x
  3. Step 3: Cross multiply
    9,766.94x = 13,476.04 × 5,518.08
  4. Step 4: Simplify right side
    9,766.94x = 74,361,853.01
  5. Step 5: Solve for x
    x = 74,361,853.01/9,766.94
  6. Step 6: Final answer
    x = 7,613.63

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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.