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Finding the Fourth Proportional to 9,120.66, 13,675.50 and 6,190.08

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Solution

The fourth proportional to 9,120.66, 13,675.50 and 6,190.08 is: 9,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.66 : 13,675.50 = 6,190.08 : x
  2. Step 2: Convert to fraction form
    9,120.66/13,675.50 = 6,190.08/x
  3. Step 3: Cross multiply
    9,120.66x = 13,675.50 × 6,190.08
  4. Step 4: Simplify right side
    9,120.66x = 84,652,439.04
  5. Step 5: Solve for x
    x = 84,652,439.04/9,120.66
  6. Step 6: Final answer
    x = 9,281.39

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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.