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Finding the Fourth Proportional to 9,146.66, 12,622.38 and 4,954.91

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Solution

The fourth proportional to 9,146.66, 12,622.38 and 4,954.91 is: 6,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.66 : 12,622.38 = 4,954.91 : x
  2. Step 2: Convert to fraction form
    9,146.66/12,622.38 = 4,954.91/x
  3. Step 3: Cross multiply
    9,146.66x = 12,622.38 × 4,954.91
  4. Step 4: Simplify right side
    9,146.66x = 62,542,756.89
  5. Step 5: Solve for x
    x = 62,542,756.89/9,146.66
  6. Step 6: Final answer
    x = 6,837.77

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Why These Related Problems?

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