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Finding the Fourth Proportional to 9,456.93, 13,057.52 and 6,101.71

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Solution

The fourth proportional to 9,456.93, 13,057.52 and 6,101.71 is: 8,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.93 : 13,057.52 = 6,101.71 : x
  2. Step 2: Convert to fraction form
    9,456.93/13,057.52 = 6,101.71/x
  3. Step 3: Cross multiply
    9,456.93x = 13,057.52 × 6,101.71
  4. Step 4: Simplify right side
    9,456.93x = 79,673,137.21
  5. Step 5: Solve for x
    x = 79,673,137.21/9,456.93
  6. Step 6: Final answer
    x = 8,424.84

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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.