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Finding the Fourth Proportional to 9,770.41, 14,652.62 and 3,529.65

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Solution

The fourth proportional to 9,770.41, 14,652.62 and 3,529.65 is: 5,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.41 : 14,652.62 = 3,529.65 : x
  2. Step 2: Convert to fraction form
    9,770.41/14,652.62 = 3,529.65/x
  3. Step 3: Cross multiply
    9,770.41x = 14,652.62 × 3,529.65
  4. Step 4: Simplify right side
    9,770.41x = 51,718,620.18
  5. Step 5: Solve for x
    x = 51,718,620.18/9,770.41
  6. Step 6: Final answer
    x = 5,293.39

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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.