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Finding the Fourth Proportional to 9,465.33, 13,062.24 and 5,930.61

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Solution

The fourth proportional to 9,465.33, 13,062.24 and 5,930.61 is: 8,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.33 : 13,062.24 = 5,930.61 : x
  2. Step 2: Convert to fraction form
    9,465.33/13,062.24 = 5,930.61/x
  3. Step 3: Cross multiply
    9,465.33x = 13,062.24 × 5,930.61
  4. Step 4: Simplify right side
    9,465.33x = 77,467,051.17
  5. Step 5: Solve for x
    x = 77,467,051.17/9,465.33
  6. Step 6: Final answer
    x = 8,184.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.