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Finding the Fourth Proportional to 7,029, 9,700.12 and 3,885.19

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Solution

The fourth proportional to 7,029, 9,700.12 and 3,885.19 is: 5,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029 : 9,700.12 = 3,885.19 : x
  2. Step 2: Convert to fraction form
    7,029/9,700.12 = 3,885.19/x
  3. Step 3: Cross multiply
    7,029x = 9,700.12 × 3,885.19
  4. Step 4: Simplify right side
    7,029x = 37,686,789.83
  5. Step 5: Solve for x
    x = 37,686,789.83/7,029
  6. Step 6: Final answer
    x = 5,361.61

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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.