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Finding the Fourth Proportional to 6,529.56, 9,010.68 and 3,697.47

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Solution

The fourth proportional to 6,529.56, 9,010.68 and 3,697.47 is: 5,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.56 : 9,010.68 = 3,697.47 : x
  2. Step 2: Convert to fraction form
    6,529.56/9,010.68 = 3,697.47/x
  3. Step 3: Cross multiply
    6,529.56x = 9,010.68 × 3,697.47
  4. Step 4: Simplify right side
    6,529.56x = 33,316,718.98
  5. Step 5: Solve for x
    x = 33,316,718.98/6,529.56
  6. Step 6: Final answer
    x = 5,102.44

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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.