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Finding the Fourth Proportional to 8,954.66, 12,356.83 and 4,975.77

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Solution

The fourth proportional to 8,954.66, 12,356.83 and 4,975.77 is: 6,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.66 : 12,356.83 = 4,975.77 : x
  2. Step 2: Convert to fraction form
    8,954.66/12,356.83 = 4,975.77/x
  3. Step 3: Cross multiply
    8,954.66x = 12,356.83 × 4,975.77
  4. Step 4: Simplify right side
    8,954.66x = 61,484,744.01
  5. Step 5: Solve for x
    x = 61,484,744.01/8,954.66
  6. Step 6: Final answer
    x = 6,866.23

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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.