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Finding the Fourth Proportional to 6,530.23, 9,011.65 and 3,697.53

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Solution

The fourth proportional to 6,530.23, 9,011.65 and 3,697.53 is: 5,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.23 : 9,011.65 = 3,697.53 : x
  2. Step 2: Convert to fraction form
    6,530.23/9,011.65 = 3,697.53/x
  3. Step 3: Cross multiply
    6,530.23x = 9,011.65 × 3,697.53
  4. Step 4: Simplify right side
    6,530.23x = 33,320,782.68
  5. Step 5: Solve for x
    x = 33,320,782.68/6,530.23
  6. Step 6: Final answer
    x = 5,102.54

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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.