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Finding the Fourth Proportional to 6,548.85, 9,026.24 and 5,285.25

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Solution

The fourth proportional to 6,548.85, 9,026.24 and 5,285.25 is: 7,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.85 : 9,026.24 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    6,548.85/9,026.24 = 5,285.25/x
  3. Step 3: Cross multiply
    6,548.85x = 9,026.24 × 5,285.25
  4. Step 4: Simplify right side
    6,548.85x = 47,705,908.53
  5. Step 5: Solve for x
    x = 47,705,908.53/6,548.85
  6. Step 6: Final answer
    x = 7,284.62

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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.