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Finding the Fourth Proportional to 9,657.36, 13,327.20 and 5,466.42

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Solution

The fourth proportional to 9,657.36, 13,327.20 and 5,466.42 is: 7,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.36 : 13,327.20 = 5,466.42 : x
  2. Step 2: Convert to fraction form
    9,657.36/13,327.20 = 5,466.42/x
  3. Step 3: Cross multiply
    9,657.36x = 13,327.20 × 5,466.42
  4. Step 4: Simplify right side
    9,657.36x = 72,852,072.62
  5. Step 5: Solve for x
    x = 72,852,072.62/9,657.36
  6. Step 6: Final answer
    x = 7,543.68

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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.