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Finding the Fourth Proportional to 9,280.17, 12,800.03 and 6,140.61

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Solution

The fourth proportional to 9,280.17, 12,800.03 and 6,140.61 is: 8,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.17 : 12,800.03 = 6,140.61 : x
  2. Step 2: Convert to fraction form
    9,280.17/12,800.03 = 6,140.61/x
  3. Step 3: Cross multiply
    9,280.17x = 12,800.03 × 6,140.61
  4. Step 4: Simplify right side
    9,280.17x = 78,599,961.52
  5. Step 5: Solve for x
    x = 78,599,961.52/9,280.17
  6. Step 6: Final answer
    x = 8,469.67

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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.