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Finding the Fourth Proportional to 9,770.34, 13,477.91 and 5,994.33

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Solution

The fourth proportional to 9,770.34, 13,477.91 and 5,994.33 is: 8,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.34 : 13,477.91 = 5,994.33 : x
  2. Step 2: Convert to fraction form
    9,770.34/13,477.91 = 5,994.33/x
  3. Step 3: Cross multiply
    9,770.34x = 13,477.91 × 5,994.33
  4. Step 4: Simplify right side
    9,770.34x = 80,791,040.25
  5. Step 5: Solve for x
    x = 80,791,040.25/9,770.34
  6. Step 6: Final answer
    x = 8,269.01

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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.