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Finding the Fourth Proportional to 6,094.74, 9,139.53 and 2,629.50

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Solution

The fourth proportional to 6,094.74, 9,139.53 and 2,629.50 is: 3,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.74 : 9,139.53 = 2,629.50 : x
  2. Step 2: Convert to fraction form
    6,094.74/9,139.53 = 2,629.50/x
  3. Step 3: Cross multiply
    6,094.74x = 9,139.53 × 2,629.50
  4. Step 4: Simplify right side
    6,094.74x = 24,032,394.14
  5. Step 5: Solve for x
    x = 24,032,394.14/6,094.74
  6. Step 6: Final answer
    x = 3,943.14

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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.