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Finding the Fourth Proportional to 10,415.82, 14,380.54 and 9,294.83

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Solution

The fourth proportional to 10,415.82, 14,380.54 and 9,294.83 is: 12,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.82 : 14,380.54 = 9,294.83 : x
  2. Step 2: Convert to fraction form
    10,415.82/14,380.54 = 9,294.83/x
  3. Step 3: Cross multiply
    10,415.82x = 14,380.54 × 9,294.83
  4. Step 4: Simplify right side
    10,415.82x = 133,664,674.61
  5. Step 5: Solve for x
    x = 133,664,674.61/10,415.82
  6. Step 6: Final answer
    x = 12,832.85

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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.