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Finding the Fourth Proportional to 6,432.55, 9,642.44 and 3,653.47

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Solution

The fourth proportional to 6,432.55, 9,642.44 and 3,653.47 is: 5,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.55 : 9,642.44 = 3,653.47 : x
  2. Step 2: Convert to fraction form
    6,432.55/9,642.44 = 3,653.47/x
  3. Step 3: Cross multiply
    6,432.55x = 9,642.44 × 3,653.47
  4. Step 4: Simplify right side
    6,432.55x = 35,228,365.27
  5. Step 5: Solve for x
    x = 35,228,365.27/6,432.55
  6. Step 6: Final answer
    x = 5,476.58

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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.