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Finding the Fourth Proportional to 9,099.25, 13,634.25 and 7,641.25

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Solution

The fourth proportional to 9,099.25, 13,634.25 and 7,641.25 is: 11,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.25 : 13,634.25 = 7,641.25 : x
  2. Step 2: Convert to fraction form
    9,099.25/13,634.25 = 7,641.25/x
  3. Step 3: Cross multiply
    9,099.25x = 13,634.25 × 7,641.25
  4. Step 4: Simplify right side
    9,099.25x = 104,182,712.81
  5. Step 5: Solve for x
    x = 104,182,712.81/9,099.25
  6. Step 6: Final answer
    x = 11,449.59

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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.