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Finding the Fourth Proportional to 7,084.45, 9,774.03 and 4,099.60

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Solution

The fourth proportional to 7,084.45, 9,774.03 and 4,099.60 is: 5,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.45 : 9,774.03 = 4,099.60 : x
  2. Step 2: Convert to fraction form
    7,084.45/9,774.03 = 4,099.60/x
  3. Step 3: Cross multiply
    7,084.45x = 9,774.03 × 4,099.60
  4. Step 4: Simplify right side
    7,084.45x = 40,069,613.39
  5. Step 5: Solve for x
    x = 40,069,613.39/7,084.45
  6. Step 6: Final answer
    x = 5,655.99

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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.