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Finding the Fourth Proportional to 9,670.86, 14,507.67 and 3,669.14

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Solution

The fourth proportional to 9,670.86, 14,507.67 and 3,669.14 is: 5,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.86 : 14,507.67 = 3,669.14 : x
  2. Step 2: Convert to fraction form
    9,670.86/14,507.67 = 3,669.14/x
  3. Step 3: Cross multiply
    9,670.86x = 14,507.67 × 3,669.14
  4. Step 4: Simplify right side
    9,670.86x = 53,230,672.30
  5. Step 5: Solve for x
    x = 53,230,672.30/9,670.86
  6. Step 6: Final answer
    x = 5,504.23

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Why These Related Problems?

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