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Finding the Fourth Proportional to 9,963.69, 13,742.04 and 6,184.72

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Solution

The fourth proportional to 9,963.69, 13,742.04 and 6,184.72 is: 8,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.69 : 13,742.04 = 6,184.72 : x
  2. Step 2: Convert to fraction form
    9,963.69/13,742.04 = 6,184.72/x
  3. Step 3: Cross multiply
    9,963.69x = 13,742.04 × 6,184.72
  4. Step 4: Simplify right side
    9,963.69x = 84,990,669.63
  5. Step 5: Solve for x
    x = 84,990,669.63/9,963.69
  6. Step 6: Final answer
    x = 8,530.04

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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.