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Finding the Fourth Proportional to 9,805.82, 14,710.55 and 3,232.46

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Solution

The fourth proportional to 9,805.82, 14,710.55 and 3,232.46 is: 4,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.82 : 14,710.55 = 3,232.46 : x
  2. Step 2: Convert to fraction form
    9,805.82/14,710.55 = 3,232.46/x
  3. Step 3: Cross multiply
    9,805.82x = 14,710.55 × 3,232.46
  4. Step 4: Simplify right side
    9,805.82x = 47,551,285.07
  5. Step 5: Solve for x
    x = 47,551,285.07/9,805.82
  6. Step 6: Final answer
    x = 4,849.29

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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.