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Finding the Fourth Proportional to 9,405.86, 14,109.49 and 3,165.89

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Solution

The fourth proportional to 9,405.86, 14,109.49 and 3,165.89 is: 4,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.86 : 14,109.49 = 3,165.89 : x
  2. Step 2: Convert to fraction form
    9,405.86/14,109.49 = 3,165.89/x
  3. Step 3: Cross multiply
    9,405.86x = 14,109.49 × 3,165.89
  4. Step 4: Simplify right side
    9,405.86x = 44,669,026.71
  5. Step 5: Solve for x
    x = 44,669,026.71/9,405.86
  6. Step 6: Final answer
    x = 4,749.07

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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.