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Finding the Fourth Proportional to 10,409.37, 14,364.69 and 6,377.78

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Solution

The fourth proportional to 10,409.37, 14,364.69 and 6,377.78 is: 8,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.37 : 14,364.69 = 6,377.78 : x
  2. Step 2: Convert to fraction form
    10,409.37/14,364.69 = 6,377.78/x
  3. Step 3: Cross multiply
    10,409.37x = 14,364.69 × 6,377.78
  4. Step 4: Simplify right side
    10,409.37x = 91,614,760.76
  5. Step 5: Solve for x
    x = 91,614,760.76/10,409.37
  6. Step 6: Final answer
    x = 8,801.18

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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.