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Finding the Fourth Proportional to 9,610.17, 14,414.19 and 3,032.76

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Solution

The fourth proportional to 9,610.17, 14,414.19 and 3,032.76 is: 4,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.17 : 14,414.19 = 3,032.76 : x
  2. Step 2: Convert to fraction form
    9,610.17/14,414.19 = 3,032.76/x
  3. Step 3: Cross multiply
    9,610.17x = 14,414.19 × 3,032.76
  4. Step 4: Simplify right side
    9,610.17x = 43,714,778.86
  5. Step 5: Solve for x
    x = 43,714,778.86/9,610.17
  6. Step 6: Final answer
    x = 4,548.80

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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.