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Finding the Fourth Proportional to 10,208.25, 14,077.02 and 9,612.99

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Solution

The fourth proportional to 10,208.25, 14,077.02 and 9,612.99 is: 13,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.25 : 14,077.02 = 9,612.99 : x
  2. Step 2: Convert to fraction form
    10,208.25/14,077.02 = 9,612.99/x
  3. Step 3: Cross multiply
    10,208.25x = 14,077.02 × 9,612.99
  4. Step 4: Simplify right side
    10,208.25x = 135,322,252.49
  5. Step 5: Solve for x
    x = 135,322,252.49/10,208.25
  6. Step 6: Final answer
    x = 13,256.17

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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.