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Finding the Fourth Proportional to 6,837.54, 9,435.32 and 4,042.50

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Solution

The fourth proportional to 6,837.54, 9,435.32 and 4,042.50 is: 5,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.54 : 9,435.32 = 4,042.50 : x
  2. Step 2: Convert to fraction form
    6,837.54/9,435.32 = 4,042.50/x
  3. Step 3: Cross multiply
    6,837.54x = 9,435.32 × 4,042.50
  4. Step 4: Simplify right side
    6,837.54x = 38,142,281.10
  5. Step 5: Solve for x
    x = 38,142,281.10/6,837.54
  6. Step 6: Final answer
    x = 5,578.36

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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.