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Finding the Fourth Proportional to 10,440.05, 14,409.44 and 9,599.42

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Solution

The fourth proportional to 10,440.05, 14,409.44 and 9,599.42 is: 13,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.05 : 14,409.44 = 9,599.42 : x
  2. Step 2: Convert to fraction form
    10,440.05/14,409.44 = 9,599.42/x
  3. Step 3: Cross multiply
    10,440.05x = 14,409.44 × 9,599.42
  4. Step 4: Simplify right side
    10,440.05x = 138,322,146.48
  5. Step 5: Solve for x
    x = 138,322,146.48/10,440.05
  6. Step 6: Final answer
    x = 13,249.19

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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.