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Finding the Fourth Proportional to 10,366.62, 15,622.93 and 9,380.76

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Solution

The fourth proportional to 10,366.62, 15,622.93 and 9,380.76 is: 14,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.62 : 15,622.93 = 9,380.76 : x
  2. Step 2: Convert to fraction form
    10,366.62/15,622.93 = 9,380.76/x
  3. Step 3: Cross multiply
    10,366.62x = 15,622.93 × 9,380.76
  4. Step 4: Simplify right side
    10,366.62x = 146,554,933.37
  5. Step 5: Solve for x
    x = 146,554,933.37/10,366.62
  6. Step 6: Final answer
    x = 14,137.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.