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Finding the Fourth Proportional to 6,567.84, 9,853.79 and 2,293.99

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Solution

The fourth proportional to 6,567.84, 9,853.79 and 2,293.99 is: 3,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.84 : 9,853.79 = 2,293.99 : x
  2. Step 2: Convert to fraction form
    6,567.84/9,853.79 = 2,293.99/x
  3. Step 3: Cross multiply
    6,567.84x = 9,853.79 × 2,293.99
  4. Step 4: Simplify right side
    6,567.84x = 22,604,459.62
  5. Step 5: Solve for x
    x = 22,604,459.62/6,567.84
  6. Step 6: Final answer
    x = 3,441.69

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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.