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Finding the Fourth Proportional to 9,564.92, 14,359.44 and 9,121.76

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Solution

The fourth proportional to 9,564.92, 14,359.44 and 9,121.76 is: 13,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.92 : 14,359.44 = 9,121.76 : x
  2. Step 2: Convert to fraction form
    9,564.92/14,359.44 = 9,121.76/x
  3. Step 3: Cross multiply
    9,564.92x = 14,359.44 × 9,121.76
  4. Step 4: Simplify right side
    9,564.92x = 130,983,365.41
  5. Step 5: Solve for x
    x = 130,983,365.41/9,564.92
  6. Step 6: Final answer
    x = 13,694.14

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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.