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Finding the Fourth Proportional to 9,853.14, 13,597.37 and 5,661.39

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Solution

The fourth proportional to 9,853.14, 13,597.37 and 5,661.39 is: 7,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.14 : 13,597.37 = 5,661.39 : x
  2. Step 2: Convert to fraction form
    9,853.14/13,597.37 = 5,661.39/x
  3. Step 3: Cross multiply
    9,853.14x = 13,597.37 × 5,661.39
  4. Step 4: Simplify right side
    9,853.14x = 76,979,986.24
  5. Step 5: Solve for x
    x = 76,979,986.24/9,853.14
  6. Step 6: Final answer
    x = 7,812.74

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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.