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Finding the Fourth Proportional to 9,735.66, 14,603.49 and 3,161.79

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Solution

The fourth proportional to 9,735.66, 14,603.49 and 3,161.79 is: 4,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.66 : 14,603.49 = 3,161.79 : x
  2. Step 2: Convert to fraction form
    9,735.66/14,603.49 = 3,161.79/x
  3. Step 3: Cross multiply
    9,735.66x = 14,603.49 × 3,161.79
  4. Step 4: Simplify right side
    9,735.66x = 46,173,168.65
  5. Step 5: Solve for x
    x = 46,173,168.65/9,735.66
  6. Step 6: Final answer
    x = 4,742.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.