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Finding the Fourth Proportional to 9,388.96, 12,957.99 and 5,410.24

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Solution

The fourth proportional to 9,388.96, 12,957.99 and 5,410.24 is: 7,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.96 : 12,957.99 = 5,410.24 : x
  2. Step 2: Convert to fraction form
    9,388.96/12,957.99 = 5,410.24/x
  3. Step 3: Cross multiply
    9,388.96x = 12,957.99 × 5,410.24
  4. Step 4: Simplify right side
    9,388.96x = 70,105,835.82
  5. Step 5: Solve for x
    x = 70,105,835.82/9,388.96
  6. Step 6: Final answer
    x = 7,466.84

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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.