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Finding the Fourth Proportional to 9,099.14, 13,646.17 and 2,523.76

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Solution

The fourth proportional to 9,099.14, 13,646.17 and 2,523.76 is: 3,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.14 : 13,646.17 = 2,523.76 : x
  2. Step 2: Convert to fraction form
    9,099.14/13,646.17 = 2,523.76/x
  3. Step 3: Cross multiply
    9,099.14x = 13,646.17 × 2,523.76
  4. Step 4: Simplify right side
    9,099.14x = 34,439,627.04
  5. Step 5: Solve for x
    x = 34,439,627.04/9,099.14
  6. Step 6: Final answer
    x = 3,784.93

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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.