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Finding the Fourth Proportional to 9,806.04, 14,709.03 and 4,258.66

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Solution

The fourth proportional to 9,806.04, 14,709.03 and 4,258.66 is: 6,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.04 : 14,709.03 = 4,258.66 : x
  2. Step 2: Convert to fraction form
    9,806.04/14,709.03 = 4,258.66/x
  3. Step 3: Cross multiply
    9,806.04x = 14,709.03 × 4,258.66
  4. Step 4: Simplify right side
    9,806.04x = 62,640,757.70
  5. Step 5: Solve for x
    x = 62,640,757.70/9,806.04
  6. Step 6: Final answer
    x = 6,387.98

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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.