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Finding the Fourth Proportional to 9,425.96, 14,134.50 and 3,498.74

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Solution

The fourth proportional to 9,425.96, 14,134.50 and 3,498.74 is: 5,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.96 : 14,134.50 = 3,498.74 : x
  2. Step 2: Convert to fraction form
    9,425.96/14,134.50 = 3,498.74/x
  3. Step 3: Cross multiply
    9,425.96x = 14,134.50 × 3,498.74
  4. Step 4: Simplify right side
    9,425.96x = 49,452,940.53
  5. Step 5: Solve for x
    x = 49,452,940.53/9,425.96
  6. Step 6: Final answer
    x = 5,246.46

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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.