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Finding the Fourth Proportional to 9,639.36, 14,449.32 and 9,221.40

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Solution

The fourth proportional to 9,639.36, 14,449.32 and 9,221.40 is: 13,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.36 : 14,449.32 = 9,221.40 : x
  2. Step 2: Convert to fraction form
    9,639.36/14,449.32 = 9,221.40/x
  3. Step 3: Cross multiply
    9,639.36x = 14,449.32 × 9,221.40
  4. Step 4: Simplify right side
    9,639.36x = 133,242,959.45
  5. Step 5: Solve for x
    x = 133,242,959.45/9,639.36
  6. Step 6: Final answer
    x = 13,822.80

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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.