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Finding the Fourth Proportional to 9,700.06, 14,550.13 and 2,774.56

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Solution

The fourth proportional to 9,700.06, 14,550.13 and 2,774.56 is: 4,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.06 : 14,550.13 = 2,774.56 : x
  2. Step 2: Convert to fraction form
    9,700.06/14,550.13 = 2,774.56/x
  3. Step 3: Cross multiply
    9,700.06x = 14,550.13 × 2,774.56
  4. Step 4: Simplify right side
    9,700.06x = 40,370,208.69
  5. Step 5: Solve for x
    x = 40,370,208.69/9,700.06
  6. Step 6: Final answer
    x = 4,161.85

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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.