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Finding the Fourth Proportional to 34,414.98, 51,616.30 and 9,114.66

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Solution

The fourth proportional to 34,414.98, 51,616.30 and 9,114.66 is: 13,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.98 : 51,616.30 = 9,114.66 : x
  2. Step 2: Convert to fraction form
    34,414.98/51,616.30 = 9,114.66/x
  3. Step 3: Cross multiply
    34,414.98x = 51,616.30 × 9,114.66
  4. Step 4: Simplify right side
    34,414.98x = 470,465,024.96
  5. Step 5: Solve for x
    x = 470,465,024.96/34,414.98
  6. Step 6: Final answer
    x = 13,670.36

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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.