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Finding the Fourth Proportional to 9,442.40, 13,022.80 and 6,608.80

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Solution

The fourth proportional to 9,442.40, 13,022.80 and 6,608.80 is: 9,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.40 : 13,022.80 = 6,608.80 : x
  2. Step 2: Convert to fraction form
    9,442.40/13,022.80 = 6,608.80/x
  3. Step 3: Cross multiply
    9,442.40x = 13,022.80 × 6,608.80
  4. Step 4: Simplify right side
    9,442.40x = 86,065,080.64
  5. Step 5: Solve for x
    x = 86,065,080.64/9,442.40
  6. Step 6: Final answer
    x = 9,114.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.