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Finding the Fourth Proportional to 9,771.08, 13,484.07 and 5,294.85

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Solution

The fourth proportional to 9,771.08, 13,484.07 and 5,294.85 is: 7,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.08 : 13,484.07 = 5,294.85 : x
  2. Step 2: Convert to fraction form
    9,771.08/13,484.07 = 5,294.85/x
  3. Step 3: Cross multiply
    9,771.08x = 13,484.07 × 5,294.85
  4. Step 4: Simplify right side
    9,771.08x = 71,396,128.04
  5. Step 5: Solve for x
    x = 71,396,128.04/9,771.08
  6. Step 6: Final answer
    x = 7,306.89

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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.