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Finding the Fourth Proportional to 9,682.48, 13,357.94 and 7,024.04

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Solution

The fourth proportional to 9,682.48, 13,357.94 and 7,024.04 is: 9,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.48 : 13,357.94 = 7,024.04 : x
  2. Step 2: Convert to fraction form
    9,682.48/13,357.94 = 7,024.04/x
  3. Step 3: Cross multiply
    9,682.48x = 13,357.94 × 7,024.04
  4. Step 4: Simplify right side
    9,682.48x = 93,826,704.88
  5. Step 5: Solve for x
    x = 93,826,704.88/9,682.48
  6. Step 6: Final answer
    x = 9,690.36

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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.