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Finding the Fourth Proportional to 9,099.75, 12,557.54 and 5,066.47

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Solution

The fourth proportional to 9,099.75, 12,557.54 and 5,066.47 is: 6,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.75 : 12,557.54 = 5,066.47 : x
  2. Step 2: Convert to fraction form
    9,099.75/12,557.54 = 5,066.47/x
  3. Step 3: Cross multiply
    9,099.75x = 12,557.54 × 5,066.47
  4. Step 4: Simplify right side
    9,099.75x = 63,622,428.05
  5. Step 5: Solve for x
    x = 63,622,428.05/9,099.75
  6. Step 6: Final answer
    x = 6,991.66

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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.