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Finding the Fourth Proportional to 6,442.30, 9,664.85 and 3,670.30

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Solution

The fourth proportional to 6,442.30, 9,664.85 and 3,670.30 is: 5,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.30 : 9,664.85 = 3,670.30 : x
  2. Step 2: Convert to fraction form
    6,442.30/9,664.85 = 3,670.30/x
  3. Step 3: Cross multiply
    6,442.30x = 9,664.85 × 3,670.30
  4. Step 4: Simplify right side
    6,442.30x = 35,472,898.96
  5. Step 5: Solve for x
    x = 35,472,898.96/6,442.30
  6. Step 6: Final answer
    x = 5,506.25

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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.