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Finding the Fourth Proportional to 11,464.97, 15,814.95 and 7,209.29

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Solution

The fourth proportional to 11,464.97, 15,814.95 and 7,209.29 is: 9,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.97 : 15,814.95 = 7,209.29 : x
  2. Step 2: Convert to fraction form
    11,464.97/15,814.95 = 7,209.29/x
  3. Step 3: Cross multiply
    11,464.97x = 15,814.95 × 7,209.29
  4. Step 4: Simplify right side
    11,464.97x = 114,014,485.30
  5. Step 5: Solve for x
    x = 114,014,485.30/11,464.97
  6. Step 6: Final answer
    x = 9,944.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.