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Finding the Fourth Proportional to 9,305.60, 13,933.50 and 7,829.37

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Solution

The fourth proportional to 9,305.60, 13,933.50 and 7,829.37 is: 11,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.60 : 13,933.50 = 7,829.37 : x
  2. Step 2: Convert to fraction form
    9,305.60/13,933.50 = 7,829.37/x
  3. Step 3: Cross multiply
    9,305.60x = 13,933.50 × 7,829.37
  4. Step 4: Simplify right side
    9,305.60x = 109,090,497.53
  5. Step 5: Solve for x
    x = 109,090,497.53/9,305.60
  6. Step 6: Final answer
    x = 11,723.11

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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.