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Finding the Fourth Proportional to 9,468.58, 14,204.90 and 2,895.25

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Solution

The fourth proportional to 9,468.58, 14,204.90 and 2,895.25 is: 4,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.58 : 14,204.90 = 2,895.25 : x
  2. Step 2: Convert to fraction form
    9,468.58/14,204.90 = 2,895.25/x
  3. Step 3: Cross multiply
    9,468.58x = 14,204.90 × 2,895.25
  4. Step 4: Simplify right side
    9,468.58x = 41,126,736.73
  5. Step 5: Solve for x
    x = 41,126,736.73/9,468.58
  6. Step 6: Final answer
    x = 4,343.50

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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.