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Finding the Fourth Proportional to 9,447.18, 13,038.42 and 5,469.54

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Solution

The fourth proportional to 9,447.18, 13,038.42 and 5,469.54 is: 7,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.18 : 13,038.42 = 5,469.54 : x
  2. Step 2: Convert to fraction form
    9,447.18/13,038.42 = 5,469.54/x
  3. Step 3: Cross multiply
    9,447.18x = 13,038.42 × 5,469.54
  4. Step 4: Simplify right side
    9,447.18x = 71,314,159.73
  5. Step 5: Solve for x
    x = 71,314,159.73/9,447.18
  6. Step 6: Final answer
    x = 7,548.72

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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.