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Finding the Fourth Proportional to 9,153.63, 12,632 and 4,961.88

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Solution

The fourth proportional to 9,153.63, 12,632 and 4,961.88 is: 6,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.63 : 12,632 = 4,961.88 : x
  2. Step 2: Convert to fraction form
    9,153.63/12,632 = 4,961.88/x
  3. Step 3: Cross multiply
    9,153.63x = 12,632 × 4,961.88
  4. Step 4: Simplify right side
    9,153.63x = 62,678,468.16
  5. Step 5: Solve for x
    x = 62,678,468.16/9,153.63
  6. Step 6: Final answer
    x = 6,847.39

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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.