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Finding the Fourth Proportional to 9,825.78, 14,671.83 and 9,270.79

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Solution

The fourth proportional to 9,825.78, 14,671.83 and 9,270.79 is: 13,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.78 : 14,671.83 = 9,270.79 : x
  2. Step 2: Convert to fraction form
    9,825.78/14,671.83 = 9,270.79/x
  3. Step 3: Cross multiply
    9,825.78x = 14,671.83 × 9,270.79
  4. Step 4: Simplify right side
    9,825.78x = 136,019,454.85
  5. Step 5: Solve for x
    x = 136,019,454.85/9,825.78
  6. Step 6: Final answer
    x = 13,843.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.