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Finding the Fourth Proportional to 9,636.62, 14,461.50 and 4,442.54

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Solution

The fourth proportional to 9,636.62, 14,461.50 and 4,442.54 is: 6,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.62 : 14,461.50 = 4,442.54 : x
  2. Step 2: Convert to fraction form
    9,636.62/14,461.50 = 4,442.54/x
  3. Step 3: Cross multiply
    9,636.62x = 14,461.50 × 4,442.54
  4. Step 4: Simplify right side
    9,636.62x = 64,245,792.21
  5. Step 5: Solve for x
    x = 64,245,792.21/9,636.62
  6. Step 6: Final answer
    x = 6,666.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.