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Finding the Fourth Proportional to 9,792.22, 14,663.72 and 7,725.51

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Solution

The fourth proportional to 9,792.22, 14,663.72 and 7,725.51 is: 11,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.22 : 14,663.72 = 7,725.51 : x
  2. Step 2: Convert to fraction form
    9,792.22/14,663.72 = 7,725.51/x
  3. Step 3: Cross multiply
    9,792.22x = 14,663.72 × 7,725.51
  4. Step 4: Simplify right side
    9,792.22x = 113,284,715.50
  5. Step 5: Solve for x
    x = 113,284,715.50/9,792.22
  6. Step 6: Final answer
    x = 11,568.85

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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.