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Finding the Fourth Proportional to 11,423.37, 15,764.46 and 6,947.31

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Solution

The fourth proportional to 11,423.37, 15,764.46 and 6,947.31 is: 9,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.37 : 15,764.46 = 6,947.31 : x
  2. Step 2: Convert to fraction form
    11,423.37/15,764.46 = 6,947.31/x
  3. Step 3: Cross multiply
    11,423.37x = 15,764.46 × 6,947.31
  4. Step 4: Simplify right side
    11,423.37x = 109,520,590.60
  5. Step 5: Solve for x
    x = 109,520,590.60/11,423.37
  6. Step 6: Final answer
    x = 9,587.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.