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Finding the Fourth Proportional to 6,509.73, 9,745.40 and 4,036.59

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Solution

The fourth proportional to 6,509.73, 9,745.40 and 4,036.59 is: 6,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.73 : 9,745.40 = 4,036.59 : x
  2. Step 2: Convert to fraction form
    6,509.73/9,745.40 = 4,036.59/x
  3. Step 3: Cross multiply
    6,509.73x = 9,745.40 × 4,036.59
  4. Step 4: Simplify right side
    6,509.73x = 39,338,164.00
  5. Step 5: Solve for x
    x = 39,338,164.00/6,509.73
  6. Step 6: Final answer
    x = 6,042.98

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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.