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Finding the Fourth Proportional to 9,468.64, 14,204.76 and 4,274.50

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Solution

The fourth proportional to 9,468.64, 14,204.76 and 4,274.50 is: 6,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.64 : 14,204.76 = 4,274.50 : x
  2. Step 2: Convert to fraction form
    9,468.64/14,204.76 = 4,274.50/x
  3. Step 3: Cross multiply
    9,468.64x = 14,204.76 × 4,274.50
  4. Step 4: Simplify right side
    9,468.64x = 60,718,246.62
  5. Step 5: Solve for x
    x = 60,718,246.62/9,468.64
  6. Step 6: Final answer
    x = 6,412.56

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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.