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Finding the Fourth Proportional to 7,102.44, 9,802.62 and 4,452.12

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Solution

The fourth proportional to 7,102.44, 9,802.62 and 4,452.12 is: 6,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 9,802.62 = 4,452.12 : x
  2. Step 2: Convert to fraction form
    7,102.44/9,802.62 = 4,452.12/x
  3. Step 3: Cross multiply
    7,102.44x = 9,802.62 × 4,452.12
  4. Step 4: Simplify right side
    7,102.44x = 43,642,440.55
  5. Step 5: Solve for x
    x = 43,642,440.55/7,102.44
  6. Step 6: Final answer
    x = 6,144.71

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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.