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Finding the Fourth Proportional to 7,035.25, 9,707.01 and 4,202.08

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Solution

The fourth proportional to 7,035.25, 9,707.01 and 4,202.08 is: 5,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.25 : 9,707.01 = 4,202.08 : x
  2. Step 2: Convert to fraction form
    7,035.25/9,707.01 = 4,202.08/x
  3. Step 3: Cross multiply
    7,035.25x = 9,707.01 × 4,202.08
  4. Step 4: Simplify right side
    7,035.25x = 40,789,632.58
  5. Step 5: Solve for x
    x = 40,789,632.58/7,035.25
  6. Step 6: Final answer
    x = 5,797.89

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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.