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Finding the Fourth Proportional to 6,436.18, 9,653.73 and 4,369.47

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Solution

The fourth proportional to 6,436.18, 9,653.73 and 4,369.47 is: 6,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.18 : 9,653.73 = 4,369.47 : x
  2. Step 2: Convert to fraction form
    6,436.18/9,653.73 = 4,369.47/x
  3. Step 3: Cross multiply
    6,436.18x = 9,653.73 × 4,369.47
  4. Step 4: Simplify right side
    6,436.18x = 42,181,683.62
  5. Step 5: Solve for x
    x = 42,181,683.62/6,436.18
  6. Step 6: Final answer
    x = 6,553.84

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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.