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Finding the Fourth Proportional to 9,655.34, 14,484.15 and 3,414.06

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Solution

The fourth proportional to 9,655.34, 14,484.15 and 3,414.06 is: 5,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.34 : 14,484.15 = 3,414.06 : x
  2. Step 2: Convert to fraction form
    9,655.34/14,484.15 = 3,414.06/x
  3. Step 3: Cross multiply
    9,655.34x = 14,484.15 × 3,414.06
  4. Step 4: Simplify right side
    9,655.34x = 49,449,757.15
  5. Step 5: Solve for x
    x = 49,449,757.15/9,655.34
  6. Step 6: Final answer
    x = 5,121.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.