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Finding the Fourth Proportional to 9,770.77, 14,647.46 and 3,529.39

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Solution

The fourth proportional to 9,770.77, 14,647.46 and 3,529.39 is: 5,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.77 : 14,647.46 = 3,529.39 : x
  2. Step 2: Convert to fraction form
    9,770.77/14,647.46 = 3,529.39/x
  3. Step 3: Cross multiply
    9,770.77x = 14,647.46 × 3,529.39
  4. Step 4: Simplify right side
    9,770.77x = 51,696,544.58
  5. Step 5: Solve for x
    x = 51,696,544.58/9,770.77
  6. Step 6: Final answer
    x = 5,290.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.