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Finding the Fourth Proportional to 9,433.27, 13,019.06 and 5,401.60

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Solution

The fourth proportional to 9,433.27, 13,019.06 and 5,401.60 is: 7,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.27 : 13,019.06 = 5,401.60 : x
  2. Step 2: Convert to fraction form
    9,433.27/13,019.06 = 5,401.60/x
  3. Step 3: Cross multiply
    9,433.27x = 13,019.06 × 5,401.60
  4. Step 4: Simplify right side
    9,433.27x = 70,323,754.50
  5. Step 5: Solve for x
    x = 70,323,754.50/9,433.27
  6. Step 6: Final answer
    x = 7,454.87

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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.