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Finding the Fourth Proportional to 9,771, 14,658.36 and 3,928.08

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Solution

The fourth proportional to 9,771, 14,658.36 and 3,928.08 is: 5,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771 : 14,658.36 = 3,928.08 : x
  2. Step 2: Convert to fraction form
    9,771/14,658.36 = 3,928.08/x
  3. Step 3: Cross multiply
    9,771x = 14,658.36 × 3,928.08
  4. Step 4: Simplify right side
    9,771x = 57,579,210.75
  5. Step 5: Solve for x
    x = 57,579,210.75/9,771
  6. Step 6: Final answer
    x = 5,892.87

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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.