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Finding the Fourth Proportional to 6,305.32, 9,459.38 and 2,409.76

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Solution

The fourth proportional to 6,305.32, 9,459.38 and 2,409.76 is: 3,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.32 : 9,459.38 = 2,409.76 : x
  2. Step 2: Convert to fraction form
    6,305.32/9,459.38 = 2,409.76/x
  3. Step 3: Cross multiply
    6,305.32x = 9,459.38 × 2,409.76
  4. Step 4: Simplify right side
    6,305.32x = 22,794,835.55
  5. Step 5: Solve for x
    x = 22,794,835.55/6,305.32
  6. Step 6: Final answer
    x = 3,615.18

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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.