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Finding the Fourth Proportional to 9,099.96, 13,649.52 and 3,762.48

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Solution

The fourth proportional to 9,099.96, 13,649.52 and 3,762.48 is: 5,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.96 : 13,649.52 = 3,762.48 : x
  2. Step 2: Convert to fraction form
    9,099.96/13,649.52 = 3,762.48/x
  3. Step 3: Cross multiply
    9,099.96x = 13,649.52 × 3,762.48
  4. Step 4: Simplify right side
    9,099.96x = 51,356,046.01
  5. Step 5: Solve for x
    x = 51,356,046.01/9,099.96
  6. Step 6: Final answer
    x = 5,643.55

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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.