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Finding the Fourth Proportional to 9,473.00, 14,212.28 and 4,546.78

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Solution

The fourth proportional to 9,473.00, 14,212.28 and 4,546.78 is: 6,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.00 : 14,212.28 = 4,546.78 : x
  2. Step 2: Convert to fraction form
    9,473.00/14,212.28 = 4,546.78/x
  3. Step 3: Cross multiply
    9,473.00x = 14,212.28 × 4,546.78
  4. Step 4: Simplify right side
    9,473.00x = 64,620,052.19
  5. Step 5: Solve for x
    x = 64,620,052.19/9,473.00
  6. Step 6: Final answer
    x = 6,821.50

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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.