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Finding the Fourth Proportional to 9,490.32, 13,096.62 and 5,513.76

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Solution

The fourth proportional to 9,490.32, 13,096.62 and 5,513.76 is: 7,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.32 : 13,096.62 = 5,513.76 : x
  2. Step 2: Convert to fraction form
    9,490.32/13,096.62 = 5,513.76/x
  3. Step 3: Cross multiply
    9,490.32x = 13,096.62 × 5,513.76
  4. Step 4: Simplify right side
    9,490.32x = 72,211,619.49
  5. Step 5: Solve for x
    x = 72,211,619.49/9,490.32
  6. Step 6: Final answer
    x = 7,608.98

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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.