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Finding the Fourth Proportional to 9,963.85, 13,740.96 and 6,559.42

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Solution

The fourth proportional to 9,963.85, 13,740.96 and 6,559.42 is: 9,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.85 : 13,740.96 = 6,559.42 : x
  2. Step 2: Convert to fraction form
    9,963.85/13,740.96 = 6,559.42/x
  3. Step 3: Cross multiply
    9,963.85x = 13,740.96 × 6,559.42
  4. Step 4: Simplify right side
    9,963.85x = 90,132,727.84
  5. Step 5: Solve for x
    x = 90,132,727.84/9,963.85
  6. Step 6: Final answer
    x = 9,045.97

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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.