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Finding the Fourth Proportional to 6,529.85, 9,011.13 and 3,697.15

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Solution

The fourth proportional to 6,529.85, 9,011.13 and 3,697.15 is: 5,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.85 : 9,011.13 = 3,697.15 : x
  2. Step 2: Convert to fraction form
    6,529.85/9,011.13 = 3,697.15/x
  3. Step 3: Cross multiply
    6,529.85x = 9,011.13 × 3,697.15
  4. Step 4: Simplify right side
    6,529.85x = 33,315,462.89
  5. Step 5: Solve for x
    x = 33,315,462.89/6,529.85
  6. Step 6: Final answer
    x = 5,102.02

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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.