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Finding the Fourth Proportional to 9,867.75, 14,803.65 and 3,204.60

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Solution

The fourth proportional to 9,867.75, 14,803.65 and 3,204.60 is: 4,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.75 : 14,803.65 = 3,204.60 : x
  2. Step 2: Convert to fraction form
    9,867.75/14,803.65 = 3,204.60/x
  3. Step 3: Cross multiply
    9,867.75x = 14,803.65 × 3,204.60
  4. Step 4: Simplify right side
    9,867.75x = 47,439,776.79
  5. Step 5: Solve for x
    x = 47,439,776.79/9,867.75
  6. Step 6: Final answer
    x = 4,807.56

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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.