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Finding the Fourth Proportional to 10,698.97, 14,768.64 and 9,577.83

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Solution

The fourth proportional to 10,698.97, 14,768.64 and 9,577.83 is: 13,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.97 : 14,768.64 = 9,577.83 : x
  2. Step 2: Convert to fraction form
    10,698.97/14,768.64 = 9,577.83/x
  3. Step 3: Cross multiply
    10,698.97x = 14,768.64 × 9,577.83
  4. Step 4: Simplify right side
    10,698.97x = 141,451,523.25
  5. Step 5: Solve for x
    x = 141,451,523.25/10,698.97
  6. Step 6: Final answer
    x = 13,221.04

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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.