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Finding the Fourth Proportional to 6,291.84, 9,435.06 and 2,394.84

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Solution

The fourth proportional to 6,291.84, 9,435.06 and 2,394.84 is: 3,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.84 : 9,435.06 = 2,394.84 : x
  2. Step 2: Convert to fraction form
    6,291.84/9,435.06 = 2,394.84/x
  3. Step 3: Cross multiply
    6,291.84x = 9,435.06 × 2,394.84
  4. Step 4: Simplify right side
    6,291.84x = 22,595,459.09
  5. Step 5: Solve for x
    x = 22,595,459.09/6,291.84
  6. Step 6: Final answer
    x = 3,591.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.