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Finding the Fourth Proportional to 6,384.64, 9,586.02 and 3,616.75

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Solution

The fourth proportional to 6,384.64, 9,586.02 and 3,616.75 is: 5,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.64 : 9,586.02 = 3,616.75 : x
  2. Step 2: Convert to fraction form
    6,384.64/9,586.02 = 3,616.75/x
  3. Step 3: Cross multiply
    6,384.64x = 9,586.02 × 3,616.75
  4. Step 4: Simplify right side
    6,384.64x = 34,670,237.84
  5. Step 5: Solve for x
    x = 34,670,237.84/6,384.64
  6. Step 6: Final answer
    x = 5,430.26

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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.