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Finding the Fourth Proportional to 6,305.85, 9,465.75 and 5,330.75

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Solution

The fourth proportional to 6,305.85, 9,465.75 and 5,330.75 is: 8,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.85 : 9,465.75 = 5,330.75 : x
  2. Step 2: Convert to fraction form
    6,305.85/9,465.75 = 5,330.75/x
  3. Step 3: Cross multiply
    6,305.85x = 9,465.75 × 5,330.75
  4. Step 4: Simplify right side
    6,305.85x = 50,459,499.48
  5. Step 5: Solve for x
    x = 50,459,499.48/6,305.85
  6. Step 6: Final answer
    x = 8,002.01

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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.