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Finding the Fourth Proportional to 9,189.86, 12,687.23 and 6,051.51

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Solution

The fourth proportional to 9,189.86, 12,687.23 and 6,051.51 is: 8,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.86 : 12,687.23 = 6,051.51 : x
  2. Step 2: Convert to fraction form
    9,189.86/12,687.23 = 6,051.51/x
  3. Step 3: Cross multiply
    9,189.86x = 12,687.23 × 6,051.51
  4. Step 4: Simplify right side
    9,189.86x = 76,776,914.35
  5. Step 5: Solve for x
    x = 76,776,914.35/9,189.86
  6. Step 6: Final answer
    x = 8,354.53

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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.