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Finding the Fourth Proportional to 9,682.92, 13,360.95 and 5,434.20

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Solution

The fourth proportional to 9,682.92, 13,360.95 and 5,434.20 is: 7,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.92 : 13,360.95 = 5,434.20 : x
  2. Step 2: Convert to fraction form
    9,682.92/13,360.95 = 5,434.20/x
  3. Step 3: Cross multiply
    9,682.92x = 13,360.95 × 5,434.20
  4. Step 4: Simplify right side
    9,682.92x = 72,606,074.49
  5. Step 5: Solve for x
    x = 72,606,074.49/9,682.92
  6. Step 6: Final answer
    x = 7,498.37

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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.