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Finding the Fourth Proportional to 10,278.72, 15,422.64 and 9,403.68

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Solution

The fourth proportional to 10,278.72, 15,422.64 and 9,403.68 is: 14,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.72 : 15,422.64 = 9,403.68 : x
  2. Step 2: Convert to fraction form
    10,278.72/15,422.64 = 9,403.68/x
  3. Step 3: Cross multiply
    10,278.72x = 15,422.64 × 9,403.68
  4. Step 4: Simplify right side
    10,278.72x = 145,029,571.32
  5. Step 5: Solve for x
    x = 145,029,571.32/10,278.72
  6. Step 6: Final answer
    x = 14,109.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.