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Finding the Fourth Proportional to 9,699.82, 13,390.84 and 6,529.80

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Solution

The fourth proportional to 9,699.82, 13,390.84 and 6,529.80 is: 9,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.82 : 13,390.84 = 6,529.80 : x
  2. Step 2: Convert to fraction form
    9,699.82/13,390.84 = 6,529.80/x
  3. Step 3: Cross multiply
    9,699.82x = 13,390.84 × 6,529.80
  4. Step 4: Simplify right side
    9,699.82x = 87,439,507.03
  5. Step 5: Solve for x
    x = 87,439,507.03/9,699.82
  6. Step 6: Final answer
    x = 9,014.55

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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.