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Finding the Fourth Proportional to 9,145.76, 13,712.39 and 4,399.41

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Solution

The fourth proportional to 9,145.76, 13,712.39 and 4,399.41 is: 6,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.76 : 13,712.39 = 4,399.41 : x
  2. Step 2: Convert to fraction form
    9,145.76/13,712.39 = 4,399.41/x
  3. Step 3: Cross multiply
    9,145.76x = 13,712.39 × 4,399.41
  4. Step 4: Simplify right side
    9,145.76x = 60,326,380.41
  5. Step 5: Solve for x
    x = 60,326,380.41/9,145.76
  6. Step 6: Final answer
    x = 6,596.11

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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.