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Finding the Fourth Proportional to 10,338.46, 14,231.06 and 9,009.86

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Solution

The fourth proportional to 10,338.46, 14,231.06 and 9,009.86 is: 12,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.46 : 14,231.06 = 9,009.86 : x
  2. Step 2: Convert to fraction form
    10,338.46/14,231.06 = 9,009.86/x
  3. Step 3: Cross multiply
    10,338.46x = 14,231.06 × 9,009.86
  4. Step 4: Simplify right side
    10,338.46x = 128,219,858.25
  5. Step 5: Solve for x
    x = 128,219,858.25/10,338.46
  6. Step 6: Final answer
    x = 12,402.22

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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.