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Finding the Fourth Proportional to 6,027.40, 9,034.62 and 4,295.08

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Solution

The fourth proportional to 6,027.40, 9,034.62 and 4,295.08 is: 6,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.40 : 9,034.62 = 4,295.08 : x
  2. Step 2: Convert to fraction form
    6,027.40/9,034.62 = 4,295.08/x
  3. Step 3: Cross multiply
    6,027.40x = 9,034.62 × 4,295.08
  4. Step 4: Simplify right side
    6,027.40x = 38,804,415.67
  5. Step 5: Solve for x
    x = 38,804,415.67/6,027.40
  6. Step 6: Final answer
    x = 6,438.00

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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.