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Finding the Fourth Proportional to 6,294.76, 9,431.64 and 4,442.84

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Solution

The fourth proportional to 6,294.76, 9,431.64 and 4,442.84 is: 6,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.76 : 9,431.64 = 4,442.84 : x
  2. Step 2: Convert to fraction form
    6,294.76/9,431.64 = 4,442.84/x
  3. Step 3: Cross multiply
    6,294.76x = 9,431.64 × 4,442.84
  4. Step 4: Simplify right side
    6,294.76x = 41,903,267.46
  5. Step 5: Solve for x
    x = 41,903,267.46/6,294.76
  6. Step 6: Final answer
    x = 6,656.85

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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.