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Finding the Fourth Proportional to 9,792.45, 14,691.11 and 4,592.25

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Solution

The fourth proportional to 9,792.45, 14,691.11 and 4,592.25 is: 6,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.45 : 14,691.11 = 4,592.25 : x
  2. Step 2: Convert to fraction form
    9,792.45/14,691.11 = 4,592.25/x
  3. Step 3: Cross multiply
    9,792.45x = 14,691.11 × 4,592.25
  4. Step 4: Simplify right side
    9,792.45x = 67,465,226.94
  5. Step 5: Solve for x
    x = 67,465,226.94/9,792.45
  6. Step 6: Final answer
    x = 6,889.51

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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.