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Finding the Fourth Proportional to 9,764.65, 14,646.93 and 2,369.15

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Solution

The fourth proportional to 9,764.65, 14,646.93 and 2,369.15 is: 3,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.65 : 14,646.93 = 2,369.15 : x
  2. Step 2: Convert to fraction form
    9,764.65/14,646.93 = 2,369.15/x
  3. Step 3: Cross multiply
    9,764.65x = 14,646.93 × 2,369.15
  4. Step 4: Simplify right side
    9,764.65x = 34,700,747.02
  5. Step 5: Solve for x
    x = 34,700,747.02/9,764.65
  6. Step 6: Final answer
    x = 3,553.71

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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.