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Finding the Fourth Proportional to 9,486.12, 14,222.64 and 5,099.16

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Solution

The fourth proportional to 9,486.12, 14,222.64 and 5,099.16 is: 7,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.12 : 14,222.64 = 5,099.16 : x
  2. Step 2: Convert to fraction form
    9,486.12/14,222.64 = 5,099.16/x
  3. Step 3: Cross multiply
    9,486.12x = 14,222.64 × 5,099.16
  4. Step 4: Simplify right side
    9,486.12x = 72,523,516.98
  5. Step 5: Solve for x
    x = 72,523,516.98/9,486.12
  6. Step 6: Final answer
    x = 7,645.22

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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.