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Finding the Fourth Proportional to 9,602.32, 13,251.18 and 5,410.54

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Solution

The fourth proportional to 9,602.32, 13,251.18 and 5,410.54 is: 7,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.32 : 13,251.18 = 5,410.54 : x
  2. Step 2: Convert to fraction form
    9,602.32/13,251.18 = 5,410.54/x
  3. Step 3: Cross multiply
    9,602.32x = 13,251.18 × 5,410.54
  4. Step 4: Simplify right side
    9,602.32x = 71,696,039.44
  5. Step 5: Solve for x
    x = 71,696,039.44/9,602.32
  6. Step 6: Final answer
    x = 7,466.53

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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.