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Finding the Fourth Proportional to 9,893.85, 14,842.39 and 4,697.97

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Solution

The fourth proportional to 9,893.85, 14,842.39 and 4,697.97 is: 7,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.85 : 14,842.39 = 4,697.97 : x
  2. Step 2: Convert to fraction form
    9,893.85/14,842.39 = 4,697.97/x
  3. Step 3: Cross multiply
    9,893.85x = 14,842.39 × 4,697.97
  4. Step 4: Simplify right side
    9,893.85x = 69,729,016.99
  5. Step 5: Solve for x
    x = 69,729,016.99/9,893.85
  6. Step 6: Final answer
    x = 7,047.72

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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.