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Finding the Fourth Proportional to 10,573.64, 14,573.34 and 9,220.81

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Solution

The fourth proportional to 10,573.64, 14,573.34 and 9,220.81 is: 12,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.64 : 14,573.34 = 9,220.81 : x
  2. Step 2: Convert to fraction form
    10,573.64/14,573.34 = 9,220.81/x
  3. Step 3: Cross multiply
    10,573.64x = 14,573.34 × 9,220.81
  4. Step 4: Simplify right side
    10,573.64x = 134,378,057.02
  5. Step 5: Solve for x
    x = 134,378,057.02/10,573.64
  6. Step 6: Final answer
    x = 12,708.78

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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.