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Finding the Fourth Proportional to 9,695.77, 14,543.66 and 2,770.27

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Solution

The fourth proportional to 9,695.77, 14,543.66 and 2,770.27 is: 4,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.77 : 14,543.66 = 2,770.27 : x
  2. Step 2: Convert to fraction form
    9,695.77/14,543.66 = 2,770.27/x
  3. Step 3: Cross multiply
    9,695.77x = 14,543.66 × 2,770.27
  4. Step 4: Simplify right side
    9,695.77x = 40,289,864.99
  5. Step 5: Solve for x
    x = 40,289,864.99/9,695.77
  6. Step 6: Final answer
    x = 4,155.41

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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.