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Finding the Fourth Proportional to 9,588.67, 14,384.96 and 4,042.01

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Solution

The fourth proportional to 9,588.67, 14,384.96 and 4,042.01 is: 6,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.67 : 14,384.96 = 4,042.01 : x
  2. Step 2: Convert to fraction form
    9,588.67/14,384.96 = 4,042.01/x
  3. Step 3: Cross multiply
    9,588.67x = 14,384.96 × 4,042.01
  4. Step 4: Simplify right side
    9,588.67x = 58,144,198.24
  5. Step 5: Solve for x
    x = 58,144,198.24/9,588.67
  6. Step 6: Final answer
    x = 6,063.85

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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.