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Finding the Fourth Proportional to 9,730.92, 14,594.22 and 2,805.96

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Solution

The fourth proportional to 9,730.92, 14,594.22 and 2,805.96 is: 4,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.92 : 14,594.22 = 2,805.96 : x
  2. Step 2: Convert to fraction form
    9,730.92/14,594.22 = 2,805.96/x
  3. Step 3: Cross multiply
    9,730.92x = 14,594.22 × 2,805.96
  4. Step 4: Simplify right side
    9,730.92x = 40,950,797.55
  5. Step 5: Solve for x
    x = 40,950,797.55/9,730.92
  6. Step 6: Final answer
    x = 4,208.32

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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.