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Finding the Fourth Proportional to 6,436.16, 9,653.12 and 1,817.92

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Solution

The fourth proportional to 6,436.16, 9,653.12 and 1,817.92 is: 2,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.16 : 9,653.12 = 1,817.92 : x
  2. Step 2: Convert to fraction form
    6,436.16/9,653.12 = 1,817.92/x
  3. Step 3: Cross multiply
    6,436.16x = 9,653.12 × 1,817.92
  4. Step 4: Simplify right side
    6,436.16x = 17,548,599.91
  5. Step 5: Solve for x
    x = 17,548,599.91/6,436.16
  6. Step 6: Final answer
    x = 2,726.56

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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.