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Finding the Fourth Proportional to 9,636.62, 13,302.86 and 5,657.98

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Solution

The fourth proportional to 9,636.62, 13,302.86 and 5,657.98 is: 7,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.62 : 13,302.86 = 5,657.98 : x
  2. Step 2: Convert to fraction form
    9,636.62/13,302.86 = 5,657.98/x
  3. Step 3: Cross multiply
    9,636.62x = 13,302.86 × 5,657.98
  4. Step 4: Simplify right side
    9,636.62x = 75,267,257.72
  5. Step 5: Solve for x
    x = 75,267,257.72/9,636.62
  6. Step 6: Final answer
    x = 7,810.54

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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.