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Finding the Fourth Proportional to 6,267.20, 9,407.64 and 4,618.64

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Solution

The fourth proportional to 6,267.20, 9,407.64 and 4,618.64 is: 6,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.20 : 9,407.64 = 4,618.64 : x
  2. Step 2: Convert to fraction form
    6,267.20/9,407.64 = 4,618.64/x
  3. Step 3: Cross multiply
    6,267.20x = 9,407.64 × 4,618.64
  4. Step 4: Simplify right side
    6,267.20x = 43,450,502.41
  5. Step 5: Solve for x
    x = 43,450,502.41/6,267.20
  6. Step 6: Final answer
    x = 6,933.00

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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.