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Finding the Fourth Proportional to 9,823.96, 13,561.70 and 6,289.22

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Solution

The fourth proportional to 9,823.96, 13,561.70 and 6,289.22 is: 8,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.96 : 13,561.70 = 6,289.22 : x
  2. Step 2: Convert to fraction form
    9,823.96/13,561.70 = 6,289.22/x
  3. Step 3: Cross multiply
    9,823.96x = 13,561.70 × 6,289.22
  4. Step 4: Simplify right side
    9,823.96x = 85,292,514.87
  5. Step 5: Solve for x
    x = 85,292,514.87/9,823.96
  6. Step 6: Final answer
    x = 8,682.09

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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.