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Finding the Fourth Proportional to 9,470.36, 14,209.64 and 5,082.69

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Solution

The fourth proportional to 9,470.36, 14,209.64 and 5,082.69 is: 7,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.36 : 14,209.64 = 5,082.69 : x
  2. Step 2: Convert to fraction form
    9,470.36/14,209.64 = 5,082.69/x
  3. Step 3: Cross multiply
    9,470.36x = 14,209.64 × 5,082.69
  4. Step 4: Simplify right side
    9,470.36x = 72,223,169.72
  5. Step 5: Solve for x
    x = 72,223,169.72/9,470.36
  6. Step 6: Final answer
    x = 7,626.23

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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.