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Finding the Fourth Proportional to 9,770.44, 14,652.56 and 3,529.63

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Solution

The fourth proportional to 9,770.44, 14,652.56 and 3,529.63 is: 5,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.44 : 14,652.56 = 3,529.63 : x
  2. Step 2: Convert to fraction form
    9,770.44/14,652.56 = 3,529.63/x
  3. Step 3: Cross multiply
    9,770.44x = 14,652.56 × 3,529.63
  4. Step 4: Simplify right side
    9,770.44x = 51,718,060.07
  5. Step 5: Solve for x
    x = 51,718,060.07/9,770.44
  6. Step 6: Final answer
    x = 5,293.32

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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.