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Finding the Fourth Proportional to 6,823.68, 9,417.51 and 3,839.64

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Solution

The fourth proportional to 6,823.68, 9,417.51 and 3,839.64 is: 5,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.68 : 9,417.51 = 3,839.64 : x
  2. Step 2: Convert to fraction form
    6,823.68/9,417.51 = 3,839.64/x
  3. Step 3: Cross multiply
    6,823.68x = 9,417.51 × 3,839.64
  4. Step 4: Simplify right side
    6,823.68x = 36,159,848.10
  5. Step 5: Solve for x
    x = 36,159,848.10/6,823.68
  6. Step 6: Final answer
    x = 5,299.17

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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.