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Finding the Fourth Proportional to 9,099.51, 13,651.20 and 5,152.61

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Solution

The fourth proportional to 9,099.51, 13,651.20 and 5,152.61 is: 7,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.51 : 13,651.20 = 5,152.61 : x
  2. Step 2: Convert to fraction form
    9,099.51/13,651.20 = 5,152.61/x
  3. Step 3: Cross multiply
    9,099.51x = 13,651.20 × 5,152.61
  4. Step 4: Simplify right side
    9,099.51x = 70,339,343.76
  5. Step 5: Solve for x
    x = 70,339,343.76/9,099.51
  6. Step 6: Final answer
    x = 7,730.02

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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.