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Finding the Fourth Proportional to 7,200.41, 9,929.75 and 4,679.66

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Solution

The fourth proportional to 7,200.41, 9,929.75 and 4,679.66 is: 6,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.41 : 9,929.75 = 4,679.66 : x
  2. Step 2: Convert to fraction form
    7,200.41/9,929.75 = 4,679.66/x
  3. Step 3: Cross multiply
    7,200.41x = 9,929.75 × 4,679.66
  4. Step 4: Simplify right side
    7,200.41x = 46,467,853.89
  5. Step 5: Solve for x
    x = 46,467,853.89/7,200.41
  6. Step 6: Final answer
    x = 6,453.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.