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Finding the Fourth Proportional to 9,406.40, 12,981.60 and 5,216

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Solution

The fourth proportional to 9,406.40, 12,981.60 and 5,216 is: 7,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.40 : 12,981.60 = 5,216 : x
  2. Step 2: Convert to fraction form
    9,406.40/12,981.60 = 5,216/x
  3. Step 3: Cross multiply
    9,406.40x = 12,981.60 × 5,216
  4. Step 4: Simplify right side
    9,406.40x = 67,712,025.60
  5. Step 5: Solve for x
    x = 67,712,025.60/9,406.40
  6. Step 6: Final answer
    x = 7,198.51

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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.