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Finding the Fourth Proportional to 9,650.34, 14,458.97 and 5,270.86

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Solution

The fourth proportional to 9,650.34, 14,458.97 and 5,270.86 is: 7,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.34 : 14,458.97 = 5,270.86 : x
  2. Step 2: Convert to fraction form
    9,650.34/14,458.97 = 5,270.86/x
  3. Step 3: Cross multiply
    9,650.34x = 14,458.97 × 5,270.86
  4. Step 4: Simplify right side
    9,650.34x = 76,211,206.61
  5. Step 5: Solve for x
    x = 76,211,206.61/9,650.34
  6. Step 6: Final answer
    x = 7,897.26

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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.