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Finding the Fourth Proportional to 9,472.26, 14,208.64 and 2,546.76

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Solution

The fourth proportional to 9,472.26, 14,208.64 and 2,546.76 is: 3,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.26 : 14,208.64 = 2,546.76 : x
  2. Step 2: Convert to fraction form
    9,472.26/14,208.64 = 2,546.76/x
  3. Step 3: Cross multiply
    9,472.26x = 14,208.64 × 2,546.76
  4. Step 4: Simplify right side
    9,472.26x = 36,185,996.01
  5. Step 5: Solve for x
    x = 36,185,996.01/9,472.26
  6. Step 6: Final answer
    x = 3,820.21

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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.