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Finding the Fourth Proportional to 9,770.49, 14,655.78 and 3,107.70

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Solution

The fourth proportional to 9,770.49, 14,655.78 and 3,107.70 is: 4,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.49 : 14,655.78 = 3,107.70 : x
  2. Step 2: Convert to fraction form
    9,770.49/14,655.78 = 3,107.70/x
  3. Step 3: Cross multiply
    9,770.49x = 14,655.78 × 3,107.70
  4. Step 4: Simplify right side
    9,770.49x = 45,545,767.51
  5. Step 5: Solve for x
    x = 45,545,767.51/9,770.49
  6. Step 6: Final answer
    x = 4,661.56

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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.