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Finding the Fourth Proportional to 6,526.81, 9,009.34 and 3,874.22

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Solution

The fourth proportional to 6,526.81, 9,009.34 and 3,874.22 is: 5,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.81 : 9,009.34 = 3,874.22 : x
  2. Step 2: Convert to fraction form
    6,526.81/9,009.34 = 3,874.22/x
  3. Step 3: Cross multiply
    6,526.81x = 9,009.34 × 3,874.22
  4. Step 4: Simplify right side
    6,526.81x = 34,904,144.27
  5. Step 5: Solve for x
    x = 34,904,144.27/6,526.81
  6. Step 6: Final answer
    x = 5,347.81

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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.