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Finding the Fourth Proportional to 6,284.72, 9,426.98 and 1,540.92

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Solution

The fourth proportional to 6,284.72, 9,426.98 and 1,540.92 is: 2,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.72 : 9,426.98 = 1,540.92 : x
  2. Step 2: Convert to fraction form
    6,284.72/9,426.98 = 1,540.92/x
  3. Step 3: Cross multiply
    6,284.72x = 9,426.98 × 1,540.92
  4. Step 4: Simplify right side
    6,284.72x = 14,526,214.32
  5. Step 5: Solve for x
    x = 14,526,214.32/6,284.72
  6. Step 6: Final answer
    x = 2,311.36

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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.