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Finding the Fourth Proportional to 6,355.36, 9,532.86 and 2,460.64

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Solution

The fourth proportional to 6,355.36, 9,532.86 and 2,460.64 is: 3,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.36 : 9,532.86 = 2,460.64 : x
  2. Step 2: Convert to fraction form
    6,355.36/9,532.86 = 2,460.64/x
  3. Step 3: Cross multiply
    6,355.36x = 9,532.86 × 2,460.64
  4. Step 4: Simplify right side
    6,355.36x = 23,456,936.63
  5. Step 5: Solve for x
    x = 23,456,936.63/6,355.36
  6. Step 6: Final answer
    x = 3,690.89

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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.