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Finding the Fourth Proportional to 9,709.82, 14,562.23 and 2,690.47

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Solution

The fourth proportional to 9,709.82, 14,562.23 and 2,690.47 is: 4,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.82 : 14,562.23 = 2,690.47 : x
  2. Step 2: Convert to fraction form
    9,709.82/14,562.23 = 2,690.47/x
  3. Step 3: Cross multiply
    9,709.82x = 14,562.23 × 2,690.47
  4. Step 4: Simplify right side
    9,709.82x = 39,179,180.92
  5. Step 5: Solve for x
    x = 39,179,180.92/9,709.82
  6. Step 6: Final answer
    x = 4,035.00

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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.