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Finding the Fourth Proportional to 9,651.54, 14,463.12 and 4,308.24

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Solution

The fourth proportional to 9,651.54, 14,463.12 and 4,308.24 is: 6,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.54 : 14,463.12 = 4,308.24 : x
  2. Step 2: Convert to fraction form
    9,651.54/14,463.12 = 4,308.24/x
  3. Step 3: Cross multiply
    9,651.54x = 14,463.12 × 4,308.24
  4. Step 4: Simplify right side
    9,651.54x = 62,310,592.11
  5. Step 5: Solve for x
    x = 62,310,592.11/9,651.54
  6. Step 6: Final answer
    x = 6,456.03

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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.