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Finding the Fourth Proportional to 9,365.92, 12,923.28 and 6,052

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Solution

The fourth proportional to 9,365.92, 12,923.28 and 6,052 is: 8,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.92 : 12,923.28 = 6,052 : x
  2. Step 2: Convert to fraction form
    9,365.92/12,923.28 = 6,052/x
  3. Step 3: Cross multiply
    9,365.92x = 12,923.28 × 6,052
  4. Step 4: Simplify right side
    9,365.92x = 78,211,690.56
  5. Step 5: Solve for x
    x = 78,211,690.56/9,365.92
  6. Step 6: Final answer
    x = 8,350.67

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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.