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Finding the Fourth Proportional to 6,588.89, 9,872.36 and 4,636.99

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Solution

The fourth proportional to 6,588.89, 9,872.36 and 4,636.99 is: 6,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.89 : 9,872.36 = 4,636.99 : x
  2. Step 2: Convert to fraction form
    6,588.89/9,872.36 = 4,636.99/x
  3. Step 3: Cross multiply
    6,588.89x = 9,872.36 × 4,636.99
  4. Step 4: Simplify right side
    6,588.89x = 45,777,962.05
  5. Step 5: Solve for x
    x = 45,777,962.05/6,588.89
  6. Step 6: Final answer
    x = 6,947.76

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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.