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Finding the Fourth Proportional to 9,444.54, 13,033.91 and 5,464.88

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Solution

The fourth proportional to 9,444.54, 13,033.91 and 5,464.88 is: 7,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.54 : 13,033.91 = 5,464.88 : x
  2. Step 2: Convert to fraction form
    9,444.54/13,033.91 = 5,464.88/x
  3. Step 3: Cross multiply
    9,444.54x = 13,033.91 × 5,464.88
  4. Step 4: Simplify right side
    9,444.54x = 71,228,759.34
  5. Step 5: Solve for x
    x = 71,228,759.34/9,444.54
  6. Step 6: Final answer
    x = 7,541.79

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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.