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Finding the Fourth Proportional to 7,036.42, 9,710.67 and 3,892.90

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Solution

The fourth proportional to 7,036.42, 9,710.67 and 3,892.90 is: 5,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.42 : 9,710.67 = 3,892.90 : x
  2. Step 2: Convert to fraction form
    7,036.42/9,710.67 = 3,892.90/x
  3. Step 3: Cross multiply
    7,036.42x = 9,710.67 × 3,892.90
  4. Step 4: Simplify right side
    7,036.42x = 37,802,667.24
  5. Step 5: Solve for x
    x = 37,802,667.24/7,036.42
  6. Step 6: Final answer
    x = 5,372.43

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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.