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Finding the Fourth Proportional to 9,465.41, 14,182.49 and 5,756.42

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Solution

The fourth proportional to 9,465.41, 14,182.49 and 5,756.42 is: 8,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.41 : 14,182.49 = 5,756.42 : x
  2. Step 2: Convert to fraction form
    9,465.41/14,182.49 = 5,756.42/x
  3. Step 3: Cross multiply
    9,465.41x = 14,182.49 × 5,756.42
  4. Step 4: Simplify right side
    9,465.41x = 81,640,418.93
  5. Step 5: Solve for x
    x = 81,640,418.93/9,465.41
  6. Step 6: Final answer
    x = 8,625.13

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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.