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Finding the Fourth Proportional to 9,767.96, 14,656.04 and 6,073.29

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Solution

The fourth proportional to 9,767.96, 14,656.04 and 6,073.29 is: 9,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.96 : 14,656.04 = 6,073.29 : x
  2. Step 2: Convert to fraction form
    9,767.96/14,656.04 = 6,073.29/x
  3. Step 3: Cross multiply
    9,767.96x = 14,656.04 × 6,073.29
  4. Step 4: Simplify right side
    9,767.96x = 89,010,350.81
  5. Step 5: Solve for x
    x = 89,010,350.81/9,767.96
  6. Step 6: Final answer
    x = 9,112.49

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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.