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Finding the Fourth Proportional to 9,941.07, 14,913.41 and 4,094.49

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Solution

The fourth proportional to 9,941.07, 14,913.41 and 4,094.49 is: 6,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.07 : 14,913.41 = 4,094.49 : x
  2. Step 2: Convert to fraction form
    9,941.07/14,913.41 = 4,094.49/x
  3. Step 3: Cross multiply
    9,941.07x = 14,913.41 × 4,094.49
  4. Step 4: Simplify right side
    9,941.07x = 61,062,787.64
  5. Step 5: Solve for x
    x = 61,062,787.64/9,941.07
  6. Step 6: Final answer
    x = 6,142.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.