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Finding the Fourth Proportional to 10,544.76, 14,533.80 and 9,650.96

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Solution

The fourth proportional to 10,544.76, 14,533.80 and 9,650.96 is: 13,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.76 : 14,533.80 = 9,650.96 : x
  2. Step 2: Convert to fraction form
    10,544.76/14,533.80 = 9,650.96/x
  3. Step 3: Cross multiply
    10,544.76x = 14,533.80 × 9,650.96
  4. Step 4: Simplify right side
    10,544.76x = 140,265,049.78
  5. Step 5: Solve for x
    x = 140,265,049.78/10,544.76
  6. Step 6: Final answer
    x = 13,301.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.