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Finding the Fourth Proportional to 9,941.30, 13,704.62 and 6,578.48

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Solution

The fourth proportional to 9,941.30, 13,704.62 and 6,578.48 is: 9,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.30 : 13,704.62 = 6,578.48 : x
  2. Step 2: Convert to fraction form
    9,941.30/13,704.62 = 6,578.48/x
  3. Step 3: Cross multiply
    9,941.30x = 13,704.62 × 6,578.48
  4. Step 4: Simplify right side
    9,941.30x = 90,155,467.16
  5. Step 5: Solve for x
    x = 90,155,467.16/9,941.30
  6. Step 6: Final answer
    x = 9,068.79

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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.