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Finding the Fourth Proportional to 10,431.95, 14,394.69 and 5,955.42

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Solution

The fourth proportional to 10,431.95, 14,394.69 and 5,955.42 is: 8,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.95 : 14,394.69 = 5,955.42 : x
  2. Step 2: Convert to fraction form
    10,431.95/14,394.69 = 5,955.42/x
  3. Step 3: Cross multiply
    10,431.95x = 14,394.69 × 5,955.42
  4. Step 4: Simplify right side
    10,431.95x = 85,726,424.72
  5. Step 5: Solve for x
    x = 85,726,424.72/10,431.95
  6. Step 6: Final answer
    x = 8,217.68

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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.