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Finding the Fourth Proportional to 6,280.56, 9,420.84 and 4,894.94

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Solution

The fourth proportional to 6,280.56, 9,420.84 and 4,894.94 is: 7,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.56 : 9,420.84 = 4,894.94 : x
  2. Step 2: Convert to fraction form
    6,280.56/9,420.84 = 4,894.94/x
  3. Step 3: Cross multiply
    6,280.56x = 9,420.84 × 4,894.94
  4. Step 4: Simplify right side
    6,280.56x = 46,114,446.55
  5. Step 5: Solve for x
    x = 46,114,446.55/6,280.56
  6. Step 6: Final answer
    x = 7,342.41

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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.