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Finding the Fourth Proportional to 6,442.60, 9,651.32 and 4,440.94

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Solution

The fourth proportional to 6,442.60, 9,651.32 and 4,440.94 is: 6,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.60 : 9,651.32 = 4,440.94 : x
  2. Step 2: Convert to fraction form
    6,442.60/9,651.32 = 4,440.94/x
  3. Step 3: Cross multiply
    6,442.60x = 9,651.32 × 4,440.94
  4. Step 4: Simplify right side
    6,442.60x = 42,860,933.04
  5. Step 5: Solve for x
    x = 42,860,933.04/6,442.60
  6. Step 6: Final answer
    x = 6,652.74

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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.