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Finding the Fourth Proportional to 6,278.16, 9,409.92 and 4,619.35

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Solution

The fourth proportional to 6,278.16, 9,409.92 and 4,619.35 is: 6,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.16 : 9,409.92 = 4,619.35 : x
  2. Step 2: Convert to fraction form
    6,278.16/9,409.92 = 4,619.35/x
  3. Step 3: Cross multiply
    6,278.16x = 9,409.92 × 4,619.35
  4. Step 4: Simplify right side
    6,278.16x = 43,467,713.95
  5. Step 5: Solve for x
    x = 43,467,713.95/6,278.16
  6. Step 6: Final answer
    x = 6,923.64

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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.