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Finding the Fourth Proportional to 9,858.33, 13,602.84 and 5,877.99

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Solution

The fourth proportional to 9,858.33, 13,602.84 and 5,877.99 is: 8,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.33 : 13,602.84 = 5,877.99 : x
  2. Step 2: Convert to fraction form
    9,858.33/13,602.84 = 5,877.99/x
  3. Step 3: Cross multiply
    9,858.33x = 13,602.84 × 5,877.99
  4. Step 4: Simplify right side
    9,858.33x = 79,957,357.49
  5. Step 5: Solve for x
    x = 79,957,357.49/9,858.33
  6. Step 6: Final answer
    x = 8,110.64

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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.