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Finding the Fourth Proportional to 9,409.86, 14,114.45 and 3,169.71

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Solution

The fourth proportional to 9,409.86, 14,114.45 and 3,169.71 is: 4,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.86 : 14,114.45 = 3,169.71 : x
  2. Step 2: Convert to fraction form
    9,409.86/14,114.45 = 3,169.71/x
  3. Step 3: Cross multiply
    9,409.86x = 14,114.45 × 3,169.71
  4. Step 4: Simplify right side
    9,409.86x = 44,738,697.46
  5. Step 5: Solve for x
    x = 44,738,697.46/9,409.86
  6. Step 6: Final answer
    x = 4,754.45

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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.