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Finding the Fourth Proportional to 9,099.65, 12,557.43 and 5,120.66

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Solution

The fourth proportional to 9,099.65, 12,557.43 and 5,120.66 is: 7,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.65 : 12,557.43 = 5,120.66 : x
  2. Step 2: Convert to fraction form
    9,099.65/12,557.43 = 5,120.66/x
  3. Step 3: Cross multiply
    9,099.65x = 12,557.43 × 5,120.66
  4. Step 4: Simplify right side
    9,099.65x = 64,302,266.72
  5. Step 5: Solve for x
    x = 64,302,266.72/9,099.65
  6. Step 6: Final answer
    x = 7,066.46

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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.