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Finding the Fourth Proportional to 7,084.89, 9,774.77 and 4,099.64

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Solution

The fourth proportional to 7,084.89, 9,774.77 and 4,099.64 is: 5,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.89 : 9,774.77 = 4,099.64 : x
  2. Step 2: Convert to fraction form
    7,084.89/9,774.77 = 4,099.64/x
  3. Step 3: Cross multiply
    7,084.89x = 9,774.77 × 4,099.64
  4. Step 4: Simplify right side
    7,084.89x = 40,072,968.71
  5. Step 5: Solve for x
    x = 40,072,968.71/7,084.89
  6. Step 6: Final answer
    x = 5,656.12

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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.