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Finding the Fourth Proportional to 9,380.16, 12,944.80 and 5,188.64

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Solution

The fourth proportional to 9,380.16, 12,944.80 and 5,188.64 is: 7,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.16 : 12,944.80 = 5,188.64 : x
  2. Step 2: Convert to fraction form
    9,380.16/12,944.80 = 5,188.64/x
  3. Step 3: Cross multiply
    9,380.16x = 12,944.80 × 5,188.64
  4. Step 4: Simplify right side
    9,380.16x = 67,165,907.07
  5. Step 5: Solve for x
    x = 67,165,907.07/9,380.16
  6. Step 6: Final answer
    x = 7,160.42

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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.