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Finding the Fourth Proportional to 7,206.91, 9,946.26 and 4,020.74

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Solution

The fourth proportional to 7,206.91, 9,946.26 and 4,020.74 is: 5,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.91 : 9,946.26 = 4,020.74 : x
  2. Step 2: Convert to fraction form
    7,206.91/9,946.26 = 4,020.74/x
  3. Step 3: Cross multiply
    7,206.91x = 9,946.26 × 4,020.74
  4. Step 4: Simplify right side
    7,206.91x = 39,991,313.00
  5. Step 5: Solve for x
    x = 39,991,313.00/7,206.91
  6. Step 6: Final answer
    x = 5,549.03

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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.