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Finding the Fourth Proportional to 9,243.72, 12,756.26 and 5,051.96

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Solution

The fourth proportional to 9,243.72, 12,756.26 and 5,051.96 is: 6,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.72 : 12,756.26 = 5,051.96 : x
  2. Step 2: Convert to fraction form
    9,243.72/12,756.26 = 5,051.96/x
  3. Step 3: Cross multiply
    9,243.72x = 12,756.26 × 5,051.96
  4. Step 4: Simplify right side
    9,243.72x = 64,444,115.27
  5. Step 5: Solve for x
    x = 64,444,115.27/9,243.72
  6. Step 6: Final answer
    x = 6,971.66

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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.