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Finding the Fourth Proportional to 9,855.29, 13,600.70 and 5,607.10

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Solution

The fourth proportional to 9,855.29, 13,600.70 and 5,607.10 is: 7,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.29 : 13,600.70 = 5,607.10 : x
  2. Step 2: Convert to fraction form
    9,855.29/13,600.70 = 5,607.10/x
  3. Step 3: Cross multiply
    9,855.29x = 13,600.70 × 5,607.10
  4. Step 4: Simplify right side
    9,855.29x = 76,260,464.99
  5. Step 5: Solve for x
    x = 76,260,464.99/9,855.29
  6. Step 6: Final answer
    x = 7,738.03

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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.