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Finding the Fourth Proportional to 9,421.50, 13,001.67 and 5,230.14

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Solution

The fourth proportional to 9,421.50, 13,001.67 and 5,230.14 is: 7,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.50 : 13,001.67 = 5,230.14 : x
  2. Step 2: Convert to fraction form
    9,421.50/13,001.67 = 5,230.14/x
  3. Step 3: Cross multiply
    9,421.50x = 13,001.67 × 5,230.14
  4. Step 4: Simplify right side
    9,421.50x = 68,000,554.33
  5. Step 5: Solve for x
    x = 68,000,554.33/9,421.50
  6. Step 6: Final answer
    x = 7,217.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.