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Finding the Fourth Proportional to 34,414.49, 51,615.55 and 9,114.16

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Solution

The fourth proportional to 34,414.49, 51,615.55 and 9,114.16 is: 13,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.49 : 51,615.55 = 9,114.16 : x
  2. Step 2: Convert to fraction form
    34,414.49/51,615.55 = 9,114.16/x
  3. Step 3: Cross multiply
    34,414.49x = 51,615.55 × 9,114.16
  4. Step 4: Simplify right side
    34,414.49x = 470,432,381.19
  5. Step 5: Solve for x
    x = 470,432,381.19/34,414.49
  6. Step 6: Final answer
    x = 13,669.60

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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.