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Finding the Fourth Proportional to 6,088.56, 9,136.50 and 4,215.97

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Solution

The fourth proportional to 6,088.56, 9,136.50 and 4,215.97 is: 6,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.56 : 9,136.50 = 4,215.97 : x
  2. Step 2: Convert to fraction form
    6,088.56/9,136.50 = 4,215.97/x
  3. Step 3: Cross multiply
    6,088.56x = 9,136.50 × 4,215.97
  4. Step 4: Simplify right side
    6,088.56x = 38,519,209.91
  5. Step 5: Solve for x
    x = 38,519,209.91/6,088.56
  6. Step 6: Final answer
    x = 6,326.49

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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.