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Finding the Fourth Proportional to 9,898.77, 14,871.38 and 9,338.34

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Solution

The fourth proportional to 9,898.77, 14,871.38 and 9,338.34 is: 14,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.77 : 14,871.38 = 9,338.34 : x
  2. Step 2: Convert to fraction form
    9,898.77/14,871.38 = 9,338.34/x
  3. Step 3: Cross multiply
    9,898.77x = 14,871.38 × 9,338.34
  4. Step 4: Simplify right side
    9,898.77x = 138,873,956.02
  5. Step 5: Solve for x
    x = 138,873,956.02/9,898.77
  6. Step 6: Final answer
    x = 14,029.42

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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.