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Finding the Fourth Proportional to 9,356.63, 12,908.27 and 6,173.48

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Solution

The fourth proportional to 9,356.63, 12,908.27 and 6,173.48 is: 8,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.63 : 12,908.27 = 6,173.48 : x
  2. Step 2: Convert to fraction form
    9,356.63/12,908.27 = 6,173.48/x
  3. Step 3: Cross multiply
    9,356.63x = 12,908.27 × 6,173.48
  4. Step 4: Simplify right side
    9,356.63x = 79,688,994.38
  5. Step 5: Solve for x
    x = 79,688,994.38/9,356.63
  6. Step 6: Final answer
    x = 8,516.85

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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.