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Finding the Fourth Proportional to 10,384.58, 14,321.12 and 9,185.15

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Solution

The fourth proportional to 10,384.58, 14,321.12 and 9,185.15 is: 12,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.58 : 14,321.12 = 9,185.15 : x
  2. Step 2: Convert to fraction form
    10,384.58/14,321.12 = 9,185.15/x
  3. Step 3: Cross multiply
    10,384.58x = 14,321.12 × 9,185.15
  4. Step 4: Simplify right side
    10,384.58x = 131,541,676.91
  5. Step 5: Solve for x
    x = 131,541,676.91/10,384.58
  6. Step 6: Final answer
    x = 12,667.02

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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.