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Finding the Fourth Proportional to 9,859.27, 14,770.45 and 7,657.23

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Solution

The fourth proportional to 9,859.27, 14,770.45 and 7,657.23 is: 11,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.27 : 14,770.45 = 7,657.23 : x
  2. Step 2: Convert to fraction form
    9,859.27/14,770.45 = 7,657.23/x
  3. Step 3: Cross multiply
    9,859.27x = 14,770.45 × 7,657.23
  4. Step 4: Simplify right side
    9,859.27x = 113,100,797.81
  5. Step 5: Solve for x
    x = 113,100,797.81/9,859.27
  6. Step 6: Final answer
    x = 11,471.52

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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.