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Finding the Fourth Proportional to 9,068, 13,600.80 and 3,804.08

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Solution

The fourth proportional to 9,068, 13,600.80 and 3,804.08 is: 5,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068 : 13,600.80 = 3,804.08 : x
  2. Step 2: Convert to fraction form
    9,068/13,600.80 = 3,804.08/x
  3. Step 3: Cross multiply
    9,068x = 13,600.80 × 3,804.08
  4. Step 4: Simplify right side
    9,068x = 51,738,531.26
  5. Step 5: Solve for x
    x = 51,738,531.26/9,068
  6. Step 6: Final answer
    x = 5,705.62

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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.