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Finding the Fourth Proportional to 7,209.27, 9,946.49 and 4,225.05

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Solution

The fourth proportional to 7,209.27, 9,946.49 and 4,225.05 is: 5,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.27 : 9,946.49 = 4,225.05 : x
  2. Step 2: Convert to fraction form
    7,209.27/9,946.49 = 4,225.05/x
  3. Step 3: Cross multiply
    7,209.27x = 9,946.49 × 4,225.05
  4. Step 4: Simplify right side
    7,209.27x = 42,024,396.45
  5. Step 5: Solve for x
    x = 42,024,396.45/7,209.27
  6. Step 6: Final answer
    x = 5,829.22

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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.