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Finding the Fourth Proportional to 9,885.74, 13,642.11 and 5,409.34

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Solution

The fourth proportional to 9,885.74, 13,642.11 and 5,409.34 is: 7,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.74 : 13,642.11 = 5,409.34 : x
  2. Step 2: Convert to fraction form
    9,885.74/13,642.11 = 5,409.34/x
  3. Step 3: Cross multiply
    9,885.74x = 13,642.11 × 5,409.34
  4. Step 4: Simplify right side
    9,885.74x = 73,794,777.20
  5. Step 5: Solve for x
    x = 73,794,777.20/9,885.74
  6. Step 6: Final answer
    x = 7,464.77

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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.