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Finding the Fourth Proportional to 9,399.60, 12,968.64 and 5,420.64

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Solution

The fourth proportional to 9,399.60, 12,968.64 and 5,420.64 is: 7,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.60 : 12,968.64 = 5,420.64 : x
  2. Step 2: Convert to fraction form
    9,399.60/12,968.64 = 5,420.64/x
  3. Step 3: Cross multiply
    9,399.60x = 12,968.64 × 5,420.64
  4. Step 4: Simplify right side
    9,399.60x = 70,298,328.73
  5. Step 5: Solve for x
    x = 70,298,328.73/9,399.60
  6. Step 6: Final answer
    x = 7,478.86

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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.