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Finding the Fourth Proportional to 9,661.88, 13,333.14 and 5,682.08

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Solution

The fourth proportional to 9,661.88, 13,333.14 and 5,682.08 is: 7,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.88 : 13,333.14 = 5,682.08 : x
  2. Step 2: Convert to fraction form
    9,661.88/13,333.14 = 5,682.08/x
  3. Step 3: Cross multiply
    9,661.88x = 13,333.14 × 5,682.08
  4. Step 4: Simplify right side
    9,661.88x = 75,759,968.13
  5. Step 5: Solve for x
    x = 75,759,968.13/9,661.88
  6. Step 6: Final answer
    x = 7,841.12

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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.