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Finding the Fourth Proportional to 9,185.40, 13,783.77 and 4,254.12

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Solution

The fourth proportional to 9,185.40, 13,783.77 and 4,254.12 is: 6,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.40 : 13,783.77 = 4,254.12 : x
  2. Step 2: Convert to fraction form
    9,185.40/13,783.77 = 4,254.12/x
  3. Step 3: Cross multiply
    9,185.40x = 13,783.77 × 4,254.12
  4. Step 4: Simplify right side
    9,185.40x = 58,637,811.63
  5. Step 5: Solve for x
    x = 58,637,811.63/9,185.40
  6. Step 6: Final answer
    x = 6,383.81

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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.