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Finding the Fourth Proportional to 9,150.67, 13,726.40 and 4,465.09

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Solution

The fourth proportional to 9,150.67, 13,726.40 and 4,465.09 is: 6,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.67 : 13,726.40 = 4,465.09 : x
  2. Step 2: Convert to fraction form
    9,150.67/13,726.40 = 4,465.09/x
  3. Step 3: Cross multiply
    9,150.67x = 13,726.40 × 4,465.09
  4. Step 4: Simplify right side
    9,150.67x = 61,289,606.21
  5. Step 5: Solve for x
    x = 61,289,606.21/9,150.67
  6. Step 6: Final answer
    x = 6,697.83

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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.