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Finding the Fourth Proportional to 9,492.64, 13,099.36 and 5,513.44

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Solution

The fourth proportional to 9,492.64, 13,099.36 and 5,513.44 is: 7,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.64 : 13,099.36 = 5,513.44 : x
  2. Step 2: Convert to fraction form
    9,492.64/13,099.36 = 5,513.44/x
  3. Step 3: Cross multiply
    9,492.64x = 13,099.36 × 5,513.44
  4. Step 4: Simplify right side
    9,492.64x = 72,222,535.40
  5. Step 5: Solve for x
    x = 72,222,535.40/9,492.64
  6. Step 6: Final answer
    x = 7,608.27

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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.