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Finding the Fourth Proportional to 9,108, 12,573.96 and 5,924.76

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Solution

The fourth proportional to 9,108, 12,573.96 and 5,924.76 is: 8,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108 : 12,573.96 = 5,924.76 : x
  2. Step 2: Convert to fraction form
    9,108/12,573.96 = 5,924.76/x
  3. Step 3: Cross multiply
    9,108x = 12,573.96 × 5,924.76
  4. Step 4: Simplify right side
    9,108x = 74,497,695.25
  5. Step 5: Solve for x
    x = 74,497,695.25/9,108
  6. Step 6: Final answer
    x = 8,179.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.