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Finding the Fourth Proportional to 9,853.09, 13,602.27 and 7,609.93

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Solution

The fourth proportional to 9,853.09, 13,602.27 and 7,609.93 is: 10,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.09 : 13,602.27 = 7,609.93 : x
  2. Step 2: Convert to fraction form
    9,853.09/13,602.27 = 7,609.93/x
  3. Step 3: Cross multiply
    9,853.09x = 13,602.27 × 7,609.93
  4. Step 4: Simplify right side
    9,853.09x = 103,512,322.54
  5. Step 5: Solve for x
    x = 103,512,322.54/9,853.09
  6. Step 6: Final answer
    x = 10,505.57

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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.