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Finding the Fourth Proportional to 6,438.48, 8,889.12 and 4,943.42

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Solution

The fourth proportional to 6,438.48, 8,889.12 and 4,943.42 is: 6,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.48 : 8,889.12 = 4,943.42 : x
  2. Step 2: Convert to fraction form
    6,438.48/8,889.12 = 4,943.42/x
  3. Step 3: Cross multiply
    6,438.48x = 8,889.12 × 4,943.42
  4. Step 4: Simplify right side
    6,438.48x = 43,942,653.59
  5. Step 5: Solve for x
    x = 43,942,653.59/6,438.48
  6. Step 6: Final answer
    x = 6,825.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.