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Finding the Fourth Proportional to 9,661.40, 13,335.90 and 5,682.32

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Solution

The fourth proportional to 9,661.40, 13,335.90 and 5,682.32 is: 7,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.40 : 13,335.90 = 5,682.32 : x
  2. Step 2: Convert to fraction form
    9,661.40/13,335.90 = 5,682.32/x
  3. Step 3: Cross multiply
    9,661.40x = 13,335.90 × 5,682.32
  4. Step 4: Simplify right side
    9,661.40x = 75,778,851.29
  5. Step 5: Solve for x
    x = 75,778,851.29/9,661.40
  6. Step 6: Final answer
    x = 7,843.46

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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.