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Finding the Fourth Proportional to 6,352.64, 9,527.37 and 2,840.69

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Solution

The fourth proportional to 6,352.64, 9,527.37 and 2,840.69 is: 4,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.64 : 9,527.37 = 2,840.69 : x
  2. Step 2: Convert to fraction form
    6,352.64/9,527.37 = 2,840.69/x
  3. Step 3: Cross multiply
    6,352.64x = 9,527.37 × 2,840.69
  4. Step 4: Simplify right side
    6,352.64x = 27,064,280.24
  5. Step 5: Solve for x
    x = 27,064,280.24/6,352.64
  6. Step 6: Final answer
    x = 4,260.32

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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.