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Finding the Fourth Proportional to 9,380.16, 12,944.40 and 5,188.32

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Solution

The fourth proportional to 9,380.16, 12,944.40 and 5,188.32 is: 7,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.16 : 12,944.40 = 5,188.32 : x
  2. Step 2: Convert to fraction form
    9,380.16/12,944.40 = 5,188.32/x
  3. Step 3: Cross multiply
    9,380.16x = 12,944.40 × 5,188.32
  4. Step 4: Simplify right side
    9,380.16x = 67,159,689.41
  5. Step 5: Solve for x
    x = 67,159,689.41/9,380.16
  6. Step 6: Final answer
    x = 7,159.76

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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.