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Finding the Fourth Proportional to 6,257.68, 9,383.62 and 2,307.94

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Solution

The fourth proportional to 6,257.68, 9,383.62 and 2,307.94 is: 3,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.68 : 9,383.62 = 2,307.94 : x
  2. Step 2: Convert to fraction form
    6,257.68/9,383.62 = 2,307.94/x
  3. Step 3: Cross multiply
    6,257.68x = 9,383.62 × 2,307.94
  4. Step 4: Simplify right side
    6,257.68x = 21,656,831.94
  5. Step 5: Solve for x
    x = 21,656,831.94/6,257.68
  6. Step 6: Final answer
    x = 3,460.84

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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.