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Finding the Fourth Proportional to 9,231.50, 13,858.86 and 7,690.22

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Solution

The fourth proportional to 9,231.50, 13,858.86 and 7,690.22 is: 11,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.50 : 13,858.86 = 7,690.22 : x
  2. Step 2: Convert to fraction form
    9,231.50/13,858.86 = 7,690.22/x
  3. Step 3: Cross multiply
    9,231.50x = 13,858.86 × 7,690.22
  4. Step 4: Simplify right side
    9,231.50x = 106,577,682.35
  5. Step 5: Solve for x
    x = 106,577,682.35/9,231.50
  6. Step 6: Final answer
    x = 11,545.00

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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.