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Finding the Fourth Proportional to 9,984.57, 14,972.22 and 5,825.77

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Solution

The fourth proportional to 9,984.57, 14,972.22 and 5,825.77 is: 8,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.57 : 14,972.22 = 5,825.77 : x
  2. Step 2: Convert to fraction form
    9,984.57/14,972.22 = 5,825.77/x
  3. Step 3: Cross multiply
    9,984.57x = 14,972.22 × 5,825.77
  4. Step 4: Simplify right side
    9,984.57x = 87,224,740.51
  5. Step 5: Solve for x
    x = 87,224,740.51/9,984.57
  6. Step 6: Final answer
    x = 8,735.96

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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.