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Finding the Fourth Proportional to 7,206.84, 9,945.59 and 4,062.42

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Solution

The fourth proportional to 7,206.84, 9,945.59 and 4,062.42 is: 5,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.84 : 9,945.59 = 4,062.42 : x
  2. Step 2: Convert to fraction form
    7,206.84/9,945.59 = 4,062.42/x
  3. Step 3: Cross multiply
    7,206.84x = 9,945.59 × 4,062.42
  4. Step 4: Simplify right side
    7,206.84x = 40,403,143.42
  5. Step 5: Solve for x
    x = 40,403,143.42/7,206.84
  6. Step 6: Final answer
    x = 5,606.22

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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.