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Finding the Fourth Proportional to 9,657.36, 14,454.72 and 5,208.84

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Solution

The fourth proportional to 9,657.36, 14,454.72 and 5,208.84 is: 7,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.36 : 14,454.72 = 5,208.84 : x
  2. Step 2: Convert to fraction form
    9,657.36/14,454.72 = 5,208.84/x
  3. Step 3: Cross multiply
    9,657.36x = 14,454.72 × 5,208.84
  4. Step 4: Simplify right side
    9,657.36x = 75,292,323.72
  5. Step 5: Solve for x
    x = 75,292,323.72/9,657.36
  6. Step 6: Final answer
    x = 7,796.37

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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.