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Finding the Fourth Proportional to 9,806.55, 14,712.26 and 3,569.96

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Solution

The fourth proportional to 9,806.55, 14,712.26 and 3,569.96 is: 5,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.55 : 14,712.26 = 3,569.96 : x
  2. Step 2: Convert to fraction form
    9,806.55/14,712.26 = 3,569.96/x
  3. Step 3: Cross multiply
    9,806.55x = 14,712.26 × 3,569.96
  4. Step 4: Simplify right side
    9,806.55x = 52,522,088.30
  5. Step 5: Solve for x
    x = 52,522,088.30/9,806.55
  6. Step 6: Final answer
    x = 5,355.82

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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.