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Finding the Fourth Proportional to 9,618.62, 14,409.18 and 6,321.76

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Solution

The fourth proportional to 9,618.62, 14,409.18 and 6,321.76 is: 9,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.62 : 14,409.18 = 6,321.76 : x
  2. Step 2: Convert to fraction form
    9,618.62/14,409.18 = 6,321.76/x
  3. Step 3: Cross multiply
    9,618.62x = 14,409.18 × 6,321.76
  4. Step 4: Simplify right side
    9,618.62x = 91,091,377.76
  5. Step 5: Solve for x
    x = 91,091,377.76/9,618.62
  6. Step 6: Final answer
    x = 9,470.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.