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Finding the Fourth Proportional to 9,134.01, 13,696.11 and 4,689.86

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Solution

The fourth proportional to 9,134.01, 13,696.11 and 4,689.86 is: 7,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.01 : 13,696.11 = 4,689.86 : x
  2. Step 2: Convert to fraction form
    9,134.01/13,696.11 = 4,689.86/x
  3. Step 3: Cross multiply
    9,134.01x = 13,696.11 × 4,689.86
  4. Step 4: Simplify right side
    9,134.01x = 64,232,769.96
  5. Step 5: Solve for x
    x = 64,232,769.96/9,134.01
  6. Step 6: Final answer
    x = 7,032.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.