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Finding the Fourth Proportional to 9,806.88, 14,705.70 and 3,562.49

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Solution

The fourth proportional to 9,806.88, 14,705.70 and 3,562.49 is: 5,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.88 : 14,705.70 = 3,562.49 : x
  2. Step 2: Convert to fraction form
    9,806.88/14,705.70 = 3,562.49/x
  3. Step 3: Cross multiply
    9,806.88x = 14,705.70 × 3,562.49
  4. Step 4: Simplify right side
    9,806.88x = 52,388,959.32
  5. Step 5: Solve for x
    x = 52,388,959.32/9,806.88
  6. Step 6: Final answer
    x = 5,342.06

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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.