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Finding the Fourth Proportional to 6,234.04, 9,352.67 and 1,851.40

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Solution

The fourth proportional to 6,234.04, 9,352.67 and 1,851.40 is: 2,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.04 : 9,352.67 = 1,851.40 : x
  2. Step 2: Convert to fraction form
    6,234.04/9,352.67 = 1,851.40/x
  3. Step 3: Cross multiply
    6,234.04x = 9,352.67 × 1,851.40
  4. Step 4: Simplify right side
    6,234.04x = 17,315,533.24
  5. Step 5: Solve for x
    x = 17,315,533.24/6,234.04
  6. Step 6: Final answer
    x = 2,777.58

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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.