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Finding the Fourth Proportional to 7,029.70, 9,700.89 and 3,885.70

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Solution

The fourth proportional to 7,029.70, 9,700.89 and 3,885.70 is: 5,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.70 : 9,700.89 = 3,885.70 : x
  2. Step 2: Convert to fraction form
    7,029.70/9,700.89 = 3,885.70/x
  3. Step 3: Cross multiply
    7,029.70x = 9,700.89 × 3,885.70
  4. Step 4: Simplify right side
    7,029.70x = 37,694,748.27
  5. Step 5: Solve for x
    x = 37,694,748.27/7,029.70
  6. Step 6: Final answer
    x = 5,362.21

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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.