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Finding the Fourth Proportional to 9,893.91, 14,842.34 and 2,873.98

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Solution

The fourth proportional to 9,893.91, 14,842.34 and 2,873.98 is: 4,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.91 : 14,842.34 = 2,873.98 : x
  2. Step 2: Convert to fraction form
    9,893.91/14,842.34 = 2,873.98/x
  3. Step 3: Cross multiply
    9,893.91x = 14,842.34 × 2,873.98
  4. Step 4: Simplify right side
    9,893.91x = 42,656,588.31
  5. Step 5: Solve for x
    x = 42,656,588.31/9,893.91
  6. Step 6: Final answer
    x = 4,311.40

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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.