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Finding the Fourth Proportional to 10,415.57, 14,380.20 and 9,294.58

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Solution

The fourth proportional to 10,415.57, 14,380.20 and 9,294.58 is: 12,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.57 : 14,380.20 = 9,294.58 : x
  2. Step 2: Convert to fraction form
    10,415.57/14,380.20 = 9,294.58/x
  3. Step 3: Cross multiply
    10,415.57x = 14,380.20 × 9,294.58
  4. Step 4: Simplify right side
    10,415.57x = 133,657,872.84
  5. Step 5: Solve for x
    x = 133,657,872.84/10,415.57
  6. Step 6: Final answer
    x = 12,832.51

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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.