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Finding the Fourth Proportional to 9,488.22, 14,231 and 5,967.50

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Solution

The fourth proportional to 9,488.22, 14,231 and 5,967.50 is: 8,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.22 : 14,231 = 5,967.50 : x
  2. Step 2: Convert to fraction form
    9,488.22/14,231 = 5,967.50/x
  3. Step 3: Cross multiply
    9,488.22x = 14,231 × 5,967.50
  4. Step 4: Simplify right side
    9,488.22x = 84,923,492.50
  5. Step 5: Solve for x
    x = 84,923,492.50/9,488.22
  6. Step 6: Final answer
    x = 8,950.41

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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.