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Finding the Fourth Proportional to 6,366.32, 9,529.48 and 4,018.20

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Solution

The fourth proportional to 6,366.32, 9,529.48 and 4,018.20 is: 6,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.32 : 9,529.48 = 4,018.20 : x
  2. Step 2: Convert to fraction form
    6,366.32/9,529.48 = 4,018.20/x
  3. Step 3: Cross multiply
    6,366.32x = 9,529.48 × 4,018.20
  4. Step 4: Simplify right side
    6,366.32x = 38,291,325.82
  5. Step 5: Solve for x
    x = 38,291,325.82/6,366.32
  6. Step 6: Final answer
    x = 6,014.67

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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.