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Finding the Fourth Proportional to 9,097.47, 13,635.82 and 4,421.99

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Solution

The fourth proportional to 9,097.47, 13,635.82 and 4,421.99 is: 6,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.47 : 13,635.82 = 4,421.99 : x
  2. Step 2: Convert to fraction form
    9,097.47/13,635.82 = 4,421.99/x
  3. Step 3: Cross multiply
    9,097.47x = 13,635.82 × 4,421.99
  4. Step 4: Simplify right side
    9,097.47x = 60,297,459.68
  5. Step 5: Solve for x
    x = 60,297,459.68/9,097.47
  6. Step 6: Final answer
    x = 6,627.94

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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.