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Finding the Fourth Proportional to 6,266.08, 9,405.53 and 4,894.62

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Solution

The fourth proportional to 6,266.08, 9,405.53 and 4,894.62 is: 7,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.08 : 9,405.53 = 4,894.62 : x
  2. Step 2: Convert to fraction form
    6,266.08/9,405.53 = 4,894.62/x
  3. Step 3: Cross multiply
    6,266.08x = 9,405.53 × 4,894.62
  4. Step 4: Simplify right side
    6,266.08x = 46,036,495.25
  5. Step 5: Solve for x
    x = 46,036,495.25/6,266.08
  6. Step 6: Final answer
    x = 7,346.94

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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.