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Finding the Fourth Proportional to 9,858.12, 13,602.78 and 5,665.56

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Solution

The fourth proportional to 9,858.12, 13,602.78 and 5,665.56 is: 7,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.12 : 13,602.78 = 5,665.56 : x
  2. Step 2: Convert to fraction form
    9,858.12/13,602.78 = 5,665.56/x
  3. Step 3: Cross multiply
    9,858.12x = 13,602.78 × 5,665.56
  4. Step 4: Simplify right side
    9,858.12x = 77,067,366.26
  5. Step 5: Solve for x
    x = 77,067,366.26/9,858.12
  6. Step 6: Final answer
    x = 7,817.65

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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.