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Finding the Fourth Proportional to 6,885.75, 9,502.14 and 3,901.85

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Solution

The fourth proportional to 6,885.75, 9,502.14 and 3,901.85 is: 5,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.75 : 9,502.14 = 3,901.85 : x
  2. Step 2: Convert to fraction form
    6,885.75/9,502.14 = 3,901.85/x
  3. Step 3: Cross multiply
    6,885.75x = 9,502.14 × 3,901.85
  4. Step 4: Simplify right side
    6,885.75x = 37,075,924.96
  5. Step 5: Solve for x
    x = 37,075,924.96/6,885.75
  6. Step 6: Final answer
    x = 5,384.44

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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.