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Finding the Fourth Proportional to 9,396.53, 12,969.55 and 5,420.04

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Solution

The fourth proportional to 9,396.53, 12,969.55 and 5,420.04 is: 7,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.53 : 12,969.55 = 5,420.04 : x
  2. Step 2: Convert to fraction form
    9,396.53/12,969.55 = 5,420.04/x
  3. Step 3: Cross multiply
    9,396.53x = 12,969.55 × 5,420.04
  4. Step 4: Simplify right side
    9,396.53x = 70,295,479.78
  5. Step 5: Solve for x
    x = 70,295,479.78/9,396.53
  6. Step 6: Final answer
    x = 7,481.00

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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.