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Finding the Fourth Proportional to 9,583.82, 14,375.72 and 2,658.32

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Solution

The fourth proportional to 9,583.82, 14,375.72 and 2,658.32 is: 3,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.82 : 14,375.72 = 2,658.32 : x
  2. Step 2: Convert to fraction form
    9,583.82/14,375.72 = 2,658.32/x
  3. Step 3: Cross multiply
    9,583.82x = 14,375.72 × 2,658.32
  4. Step 4: Simplify right side
    9,583.82x = 38,215,192.11
  5. Step 5: Solve for x
    x = 38,215,192.11/9,583.82
  6. Step 6: Final answer
    x = 3,987.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.