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Finding the Fourth Proportional to 9,695.23, 14,550.17 and 7,770.67

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Solution

The fourth proportional to 9,695.23, 14,550.17 and 7,770.67 is: 11,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.23 : 14,550.17 = 7,770.67 : x
  2. Step 2: Convert to fraction form
    9,695.23/14,550.17 = 7,770.67/x
  3. Step 3: Cross multiply
    9,695.23x = 14,550.17 × 7,770.67
  4. Step 4: Simplify right side
    9,695.23x = 113,064,494.29
  5. Step 5: Solve for x
    x = 113,064,494.29/9,695.23
  6. Step 6: Final answer
    x = 11,661.87

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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.