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Finding the Fourth Proportional to 6,983.91, 9,634.08 and 5,302.53

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Solution

The fourth proportional to 6,983.91, 9,634.08 and 5,302.53 is: 7,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.91 : 9,634.08 = 5,302.53 : x
  2. Step 2: Convert to fraction form
    6,983.91/9,634.08 = 5,302.53/x
  3. Step 3: Cross multiply
    6,983.91x = 9,634.08 × 5,302.53
  4. Step 4: Simplify right side
    6,983.91x = 51,084,998.22
  5. Step 5: Solve for x
    x = 51,084,998.22/6,983.91
  6. Step 6: Final answer
    x = 7,314.67

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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.