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Finding the Fourth Proportional to 9,422.80, 13,007.56 and 7,323.60

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Solution

The fourth proportional to 9,422.80, 13,007.56 and 7,323.60 is: 10,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.80 : 13,007.56 = 7,323.60 : x
  2. Step 2: Convert to fraction form
    9,422.80/13,007.56 = 7,323.60/x
  3. Step 3: Cross multiply
    9,422.80x = 13,007.56 × 7,323.60
  4. Step 4: Simplify right side
    9,422.80x = 95,262,166.42
  5. Step 5: Solve for x
    x = 95,262,166.42/9,422.80
  6. Step 6: Final answer
    x = 10,109.75

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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.