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Finding the Fourth Proportional to 9,867.62, 14,803.76 and 3,204.10

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Solution

The fourth proportional to 9,867.62, 14,803.76 and 3,204.10 is: 4,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.62 : 14,803.76 = 3,204.10 : x
  2. Step 2: Convert to fraction form
    9,867.62/14,803.76 = 3,204.10/x
  3. Step 3: Cross multiply
    9,867.62x = 14,803.76 × 3,204.10
  4. Step 4: Simplify right side
    9,867.62x = 47,432,658.64
  5. Step 5: Solve for x
    x = 47,432,658.64/9,867.62
  6. Step 6: Final answer
    x = 4,806.90

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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.