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Finding the Fourth Proportional to 6,537.79, 9,025.46 and 5,042.40

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Solution

The fourth proportional to 6,537.79, 9,025.46 and 5,042.40 is: 6,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.79 : 9,025.46 = 5,042.40 : x
  2. Step 2: Convert to fraction form
    6,537.79/9,025.46 = 5,042.40/x
  3. Step 3: Cross multiply
    6,537.79x = 9,025.46 × 5,042.40
  4. Step 4: Simplify right side
    6,537.79x = 45,509,979.50
  5. Step 5: Solve for x
    x = 45,509,979.50/6,537.79
  6. Step 6: Final answer
    x = 6,961.06

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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.