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Finding the Fourth Proportional to 6,423.52, 9,636.48 and 3,653.32

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Solution

The fourth proportional to 6,423.52, 9,636.48 and 3,653.32 is: 5,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.52 : 9,636.48 = 3,653.32 : x
  2. Step 2: Convert to fraction form
    6,423.52/9,636.48 = 3,653.32/x
  3. Step 3: Cross multiply
    6,423.52x = 9,636.48 × 3,653.32
  4. Step 4: Simplify right side
    6,423.52x = 35,205,145.11
  5. Step 5: Solve for x
    x = 35,205,145.11/6,423.52
  6. Step 6: Final answer
    x = 5,480.66

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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.