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Finding the Fourth Proportional to 9,941.92, 13,720.52 and 6,578.93

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Solution

The fourth proportional to 9,941.92, 13,720.52 and 6,578.93 is: 9,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.92 : 13,720.52 = 6,578.93 : x
  2. Step 2: Convert to fraction form
    9,941.92/13,720.52 = 6,578.93/x
  3. Step 3: Cross multiply
    9,941.92x = 13,720.52 × 6,578.93
  4. Step 4: Simplify right side
    9,941.92x = 90,266,340.64
  5. Step 5: Solve for x
    x = 90,266,340.64/9,941.92
  6. Step 6: Final answer
    x = 9,079.37

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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.