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Finding the Fourth Proportional to 9,010.12, 13,493.22 and 5,102.68

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Solution

The fourth proportional to 9,010.12, 13,493.22 and 5,102.68 is: 7,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.12 : 13,493.22 = 5,102.68 : x
  2. Step 2: Convert to fraction form
    9,010.12/13,493.22 = 5,102.68/x
  3. Step 3: Cross multiply
    9,010.12x = 13,493.22 × 5,102.68
  4. Step 4: Simplify right side
    9,010.12x = 68,851,583.83
  5. Step 5: Solve for x
    x = 68,851,583.83/9,010.12
  6. Step 6: Final answer
    x = 7,641.58

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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.