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Finding the Fourth Proportional to 9,786.22, 13,503.06 and 5,808.58

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Solution

The fourth proportional to 9,786.22, 13,503.06 and 5,808.58 is: 8,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.22 : 13,503.06 = 5,808.58 : x
  2. Step 2: Convert to fraction form
    9,786.22/13,503.06 = 5,808.58/x
  3. Step 3: Cross multiply
    9,786.22x = 13,503.06 × 5,808.58
  4. Step 4: Simplify right side
    9,786.22x = 78,433,604.25
  5. Step 5: Solve for x
    x = 78,433,604.25/9,786.22
  6. Step 6: Final answer
    x = 8,014.70

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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.