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Finding the Fourth Proportional to 9,649.83, 14,466.54 and 9,190.56

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Solution

The fourth proportional to 9,649.83, 14,466.54 and 9,190.56 is: 13,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.83 : 14,466.54 = 9,190.56 : x
  2. Step 2: Convert to fraction form
    9,649.83/14,466.54 = 9,190.56/x
  3. Step 3: Cross multiply
    9,649.83x = 14,466.54 × 9,190.56
  4. Step 4: Simplify right side
    9,649.83x = 132,955,603.86
  5. Step 5: Solve for x
    x = 132,955,603.86/9,649.83
  6. Step 6: Final answer
    x = 13,778.03

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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.