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Finding the Fourth Proportional to 9,735.10, 14,556.17 and 7,511.65

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Solution

The fourth proportional to 9,735.10, 14,556.17 and 7,511.65 is: 11,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.10 : 14,556.17 = 7,511.65 : x
  2. Step 2: Convert to fraction form
    9,735.10/14,556.17 = 7,511.65/x
  3. Step 3: Cross multiply
    9,735.10x = 14,556.17 × 7,511.65
  4. Step 4: Simplify right side
    9,735.10x = 109,340,836.77
  5. Step 5: Solve for x
    x = 109,340,836.77/9,735.10
  6. Step 6: Final answer
    x = 11,231.61

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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.