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Finding the Fourth Proportional to 6,117.16, 8,441.22 and 3,463.96

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Solution

The fourth proportional to 6,117.16, 8,441.22 and 3,463.96 is: 4,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.16 : 8,441.22 = 3,463.96 : x
  2. Step 2: Convert to fraction form
    6,117.16/8,441.22 = 3,463.96/x
  3. Step 3: Cross multiply
    6,117.16x = 8,441.22 × 3,463.96
  4. Step 4: Simplify right side
    6,117.16x = 29,240,048.43
  5. Step 5: Solve for x
    x = 29,240,048.43/6,117.16
  6. Step 6: Final answer
    x = 4,780.00

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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.