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Finding the Fourth Proportional to 6,881.14, 9,491.14 and 4,230.01

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Solution

The fourth proportional to 6,881.14, 9,491.14 and 4,230.01 is: 5,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.14 : 9,491.14 = 4,230.01 : x
  2. Step 2: Convert to fraction form
    6,881.14/9,491.14 = 4,230.01/x
  3. Step 3: Cross multiply
    6,881.14x = 9,491.14 × 4,230.01
  4. Step 4: Simplify right side
    6,881.14x = 40,147,617.11
  5. Step 5: Solve for x
    x = 40,147,617.11/6,881.14
  6. Step 6: Final answer
    x = 5,834.44

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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.