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Finding the Fourth Proportional to 9,697.83, 13,388.09 and 6,527.81

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Solution

The fourth proportional to 9,697.83, 13,388.09 and 6,527.81 is: 9,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.83 : 13,388.09 = 6,527.81 : x
  2. Step 2: Convert to fraction form
    9,697.83/13,388.09 = 6,527.81/x
  3. Step 3: Cross multiply
    9,697.83x = 13,388.09 × 6,527.81
  4. Step 4: Simplify right side
    9,697.83x = 87,394,808.20
  5. Step 5: Solve for x
    x = 87,394,808.20/9,697.83
  6. Step 6: Final answer
    x = 9,011.79

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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.