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Finding the Fourth Proportional to 6,118.32, 9,199.62 and 5,637.18

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Solution

The fourth proportional to 6,118.32, 9,199.62 and 5,637.18 is: 8,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.32 : 9,199.62 = 5,637.18 : x
  2. Step 2: Convert to fraction form
    6,118.32/9,199.62 = 5,637.18/x
  3. Step 3: Cross multiply
    6,118.32x = 9,199.62 × 5,637.18
  4. Step 4: Simplify right side
    6,118.32x = 51,859,913.87
  5. Step 5: Solve for x
    x = 51,859,913.87/6,118.32
  6. Step 6: Final answer
    x = 8,476.17

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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.