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Finding the Fourth Proportional to 9,790.92, 14,688.48 and 3,216.84

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Solution

The fourth proportional to 9,790.92, 14,688.48 and 3,216.84 is: 4,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.92 : 14,688.48 = 3,216.84 : x
  2. Step 2: Convert to fraction form
    9,790.92/14,688.48 = 3,216.84/x
  3. Step 3: Cross multiply
    9,790.92x = 14,688.48 × 3,216.84
  4. Step 4: Simplify right side
    9,790.92x = 47,250,490.00
  5. Step 5: Solve for x
    x = 47,250,490.00/9,790.92
  6. Step 6: Final answer
    x = 4,825.95

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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.