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Finding the Fourth Proportional to 10,322.35, 14,212.47 and 9,109.78

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Solution

The fourth proportional to 10,322.35, 14,212.47 and 9,109.78 is: 12,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.35 : 14,212.47 = 9,109.78 : x
  2. Step 2: Convert to fraction form
    10,322.35/14,212.47 = 9,109.78/x
  3. Step 3: Cross multiply
    10,322.35x = 14,212.47 × 9,109.78
  4. Step 4: Simplify right side
    10,322.35x = 129,472,474.96
  5. Step 5: Solve for x
    x = 129,472,474.96/10,322.35
  6. Step 6: Final answer
    x = 12,542.93

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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.