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Finding the Fourth Proportional to 6,268.14, 9,376.08 and 4,501.94

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Solution

The fourth proportional to 6,268.14, 9,376.08 and 4,501.94 is: 6,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.14 : 9,376.08 = 4,501.94 : x
  2. Step 2: Convert to fraction form
    6,268.14/9,376.08 = 4,501.94/x
  3. Step 3: Cross multiply
    6,268.14x = 9,376.08 × 4,501.94
  4. Step 4: Simplify right side
    6,268.14x = 42,210,549.60
  5. Step 5: Solve for x
    x = 42,210,549.60/6,268.14
  6. Step 6: Final answer
    x = 6,734.14

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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.