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Finding the Fourth Proportional to 6,256.54, 9,389.44 and 2,969.66

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Solution

The fourth proportional to 6,256.54, 9,389.44 and 2,969.66 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.54 : 9,389.44 = 2,969.66 : x
  2. Step 2: Convert to fraction form
    6,256.54/9,389.44 = 2,969.66/x
  3. Step 3: Cross multiply
    6,256.54x = 9,389.44 × 2,969.66
  4. Step 4: Simplify right side
    6,256.54x = 27,883,444.39
  5. Step 5: Solve for x
    x = 27,883,444.39/6,256.54
  6. Step 6: Final answer
    x = 4,456.69

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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.