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Finding the Fourth Proportional to 9,717.57, 14,573.93 and 2,792.07

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Solution

The fourth proportional to 9,717.57, 14,573.93 and 2,792.07 is: 4,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.57 : 14,573.93 = 2,792.07 : x
  2. Step 2: Convert to fraction form
    9,717.57/14,573.93 = 2,792.07/x
  3. Step 3: Cross multiply
    9,717.57x = 14,573.93 × 2,792.07
  4. Step 4: Simplify right side
    9,717.57x = 40,691,418.77
  5. Step 5: Solve for x
    x = 40,691,418.77/9,717.57
  6. Step 6: Final answer
    x = 4,187.41

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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.