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Finding the Fourth Proportional to 10,458.86, 14,441.10 and 9,179.48

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Solution

The fourth proportional to 10,458.86, 14,441.10 and 9,179.48 is: 12,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.86 : 14,441.10 = 9,179.48 : x
  2. Step 2: Convert to fraction form
    10,458.86/14,441.10 = 9,179.48/x
  3. Step 3: Cross multiply
    10,458.86x = 14,441.10 × 9,179.48
  4. Step 4: Simplify right side
    10,458.86x = 132,561,788.63
  5. Step 5: Solve for x
    x = 132,561,788.63/10,458.86
  6. Step 6: Final answer
    x = 12,674.59

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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.