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Finding the Fourth Proportional to 6,828.17, 9,421.53 and 3,844.13

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Solution

The fourth proportional to 6,828.17, 9,421.53 and 3,844.13 is: 5,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.17 : 9,421.53 = 3,844.13 : x
  2. Step 2: Convert to fraction form
    6,828.17/9,421.53 = 3,844.13/x
  3. Step 3: Cross multiply
    6,828.17x = 9,421.53 × 3,844.13
  4. Step 4: Simplify right side
    6,828.17x = 36,217,586.12
  5. Step 5: Solve for x
    x = 36,217,586.12/6,828.17
  6. Step 6: Final answer
    x = 5,304.14

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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.