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Finding the Fourth Proportional to 9,099.83, 12,557.63 and 5,120.93

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Solution

The fourth proportional to 9,099.83, 12,557.63 and 5,120.93 is: 7,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.83 : 12,557.63 = 5,120.93 : x
  2. Step 2: Convert to fraction form
    9,099.83/12,557.63 = 5,120.93/x
  3. Step 3: Cross multiply
    9,099.83x = 12,557.63 × 5,120.93
  4. Step 4: Simplify right side
    9,099.83x = 64,306,788.39
  5. Step 5: Solve for x
    x = 64,306,788.39/9,099.83
  6. Step 6: Final answer
    x = 7,066.81

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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.