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Finding the Fourth Proportional to 9,835.78, 13,573.09 and 5,858.66

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Solution

The fourth proportional to 9,835.78, 13,573.09 and 5,858.66 is: 8,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.78 : 13,573.09 = 5,858.66 : x
  2. Step 2: Convert to fraction form
    9,835.78/13,573.09 = 5,858.66/x
  3. Step 3: Cross multiply
    9,835.78x = 13,573.09 × 5,858.66
  4. Step 4: Simplify right side
    9,835.78x = 79,520,119.46
  5. Step 5: Solve for x
    x = 79,520,119.46/9,835.78
  6. Step 6: Final answer
    x = 8,084.78

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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.