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Finding the Fourth Proportional to 9,797.93, 14,669.49 and 5,107.67

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Solution

The fourth proportional to 9,797.93, 14,669.49 and 5,107.67 is: 7,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.93 : 14,669.49 = 5,107.67 : x
  2. Step 2: Convert to fraction form
    9,797.93/14,669.49 = 5,107.67/x
  3. Step 3: Cross multiply
    9,797.93x = 14,669.49 × 5,107.67
  4. Step 4: Simplify right side
    9,797.93x = 74,926,913.99
  5. Step 5: Solve for x
    x = 74,926,913.99/9,797.93
  6. Step 6: Final answer
    x = 7,647.22

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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.