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Finding the Fourth Proportional to 7,100.57, 9,792.42 and 4,448.27

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Solution

The fourth proportional to 7,100.57, 9,792.42 and 4,448.27 is: 6,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.57 : 9,792.42 = 4,448.27 : x
  2. Step 2: Convert to fraction form
    7,100.57/9,792.42 = 4,448.27/x
  3. Step 3: Cross multiply
    7,100.57x = 9,792.42 × 4,448.27
  4. Step 4: Simplify right side
    7,100.57x = 43,559,328.11
  5. Step 5: Solve for x
    x = 43,559,328.11/7,100.57
  6. Step 6: Final answer
    x = 6,134.62

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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.