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Finding the Fourth Proportional to 10,438.77, 14,406.09 and 6,192.35

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Solution

The fourth proportional to 10,438.77, 14,406.09 and 6,192.35 is: 8,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.77 : 14,406.09 = 6,192.35 : x
  2. Step 2: Convert to fraction form
    10,438.77/14,406.09 = 6,192.35/x
  3. Step 3: Cross multiply
    10,438.77x = 14,406.09 × 6,192.35
  4. Step 4: Simplify right side
    10,438.77x = 89,207,551.41
  5. Step 5: Solve for x
    x = 89,207,551.41/10,438.77
  6. Step 6: Final answer
    x = 8,545.79

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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.