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Finding the Fourth Proportional to 9,905.02, 14,847.53 and 6,209.84

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Solution

The fourth proportional to 9,905.02, 14,847.53 and 6,209.84 is: 9,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.02 : 14,847.53 = 6,209.84 : x
  2. Step 2: Convert to fraction form
    9,905.02/14,847.53 = 6,209.84/x
  3. Step 3: Cross multiply
    9,905.02x = 14,847.53 × 6,209.84
  4. Step 4: Simplify right side
    9,905.02x = 92,200,785.70
  5. Step 5: Solve for x
    x = 92,200,785.70/9,905.02
  6. Step 6: Final answer
    x = 9,308.49

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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.