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Finding the Fourth Proportional to 6,426.24, 9,632.88 and 6,147.60

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Solution

The fourth proportional to 6,426.24, 9,632.88 and 6,147.60 is: 9,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.24 : 9,632.88 = 6,147.60 : x
  2. Step 2: Convert to fraction form
    6,426.24/9,632.88 = 6,147.60/x
  3. Step 3: Cross multiply
    6,426.24x = 9,632.88 × 6,147.60
  4. Step 4: Simplify right side
    6,426.24x = 59,219,093.09
  5. Step 5: Solve for x
    x = 59,219,093.09/6,426.24
  6. Step 6: Final answer
    x = 9,215.20

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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.