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Finding the Fourth Proportional to 9,406.44, 12,980.52 and 5,214.60

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Solution

The fourth proportional to 9,406.44, 12,980.52 and 5,214.60 is: 7,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.44 : 12,980.52 = 5,214.60 : x
  2. Step 2: Convert to fraction form
    9,406.44/12,980.52 = 5,214.60/x
  3. Step 3: Cross multiply
    9,406.44x = 12,980.52 × 5,214.60
  4. Step 4: Simplify right side
    9,406.44x = 67,688,219.59
  5. Step 5: Solve for x
    x = 67,688,219.59/9,406.44
  6. Step 6: Final answer
    x = 7,195.94

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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.