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Finding the Fourth Proportional to 9,902.54, 14,825.09 and 7,704.61

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Solution

The fourth proportional to 9,902.54, 14,825.09 and 7,704.61 is: 11,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.54 : 14,825.09 = 7,704.61 : x
  2. Step 2: Convert to fraction form
    9,902.54/14,825.09 = 7,704.61/x
  3. Step 3: Cross multiply
    9,902.54x = 14,825.09 × 7,704.61
  4. Step 4: Simplify right side
    9,902.54x = 114,221,518.86
  5. Step 5: Solve for x
    x = 114,221,518.86/9,902.54
  6. Step 6: Final answer
    x = 11,534.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.