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Finding the Fourth Proportional to 6,290.53, 9,436.94 and 5,130.81

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Solution

The fourth proportional to 6,290.53, 9,436.94 and 5,130.81 is: 7,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.53 : 9,436.94 = 5,130.81 : x
  2. Step 2: Convert to fraction form
    6,290.53/9,436.94 = 5,130.81/x
  3. Step 3: Cross multiply
    6,290.53x = 9,436.94 × 5,130.81
  4. Step 4: Simplify right side
    6,290.53x = 48,419,146.12
  5. Step 5: Solve for x
    x = 48,419,146.12/6,290.53
  6. Step 6: Final answer
    x = 7,697.15

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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.