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Finding the Fourth Proportional to 9,143.01, 13,696.25 and 4,205.88

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Solution

The fourth proportional to 9,143.01, 13,696.25 and 4,205.88 is: 6,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.01 : 13,696.25 = 4,205.88 : x
  2. Step 2: Convert to fraction form
    9,143.01/13,696.25 = 4,205.88/x
  3. Step 3: Cross multiply
    9,143.01x = 13,696.25 × 4,205.88
  4. Step 4: Simplify right side
    9,143.01x = 57,604,762.92
  5. Step 5: Solve for x
    x = 57,604,762.92/9,143.01
  6. Step 6: Final answer
    x = 6,300.42

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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.