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Finding the Fourth Proportional to 6,537.08, 9,804.80 and 3,870.25

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Solution

The fourth proportional to 6,537.08, 9,804.80 and 3,870.25 is: 5,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.08 : 9,804.80 = 3,870.25 : x
  2. Step 2: Convert to fraction form
    6,537.08/9,804.80 = 3,870.25/x
  3. Step 3: Cross multiply
    6,537.08x = 9,804.80 × 3,870.25
  4. Step 4: Simplify right side
    6,537.08x = 37,947,027.20
  5. Step 5: Solve for x
    x = 37,947,027.20/6,537.08
  6. Step 6: Final answer
    x = 5,804.89

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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.