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Finding the Fourth Proportional to 9,808.37, 13,535.21 and 5,615.81

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Solution

The fourth proportional to 9,808.37, 13,535.21 and 5,615.81 is: 7,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.37 : 13,535.21 = 5,615.81 : x
  2. Step 2: Convert to fraction form
    9,808.37/13,535.21 = 5,615.81/x
  3. Step 3: Cross multiply
    9,808.37x = 13,535.21 × 5,615.81
  4. Step 4: Simplify right side
    9,808.37x = 76,011,099.99
  5. Step 5: Solve for x
    x = 76,011,099.99/9,808.37
  6. Step 6: Final answer
    x = 7,749.62

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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.