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Finding the Fourth Proportional to 9,893.90, 14,842.31 and 2,873.00

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Solution

The fourth proportional to 9,893.90, 14,842.31 and 2,873.00 is: 4,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.90 : 14,842.31 = 2,873.00 : x
  2. Step 2: Convert to fraction form
    9,893.90/14,842.31 = 2,873.00/x
  3. Step 3: Cross multiply
    9,893.90x = 14,842.31 × 2,873.00
  4. Step 4: Simplify right side
    9,893.90x = 42,641,868.05
  5. Step 5: Solve for x
    x = 42,641,868.05/9,893.90
  6. Step 6: Final answer
    x = 4,309.92

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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.