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Finding the Fourth Proportional to 6,928.21, 9,552.75 and 5,597.80

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Solution

The fourth proportional to 6,928.21, 9,552.75 and 5,597.80 is: 7,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.21 : 9,552.75 = 5,597.80 : x
  2. Step 2: Convert to fraction form
    6,928.21/9,552.75 = 5,597.80/x
  3. Step 3: Cross multiply
    6,928.21x = 9,552.75 × 5,597.80
  4. Step 4: Simplify right side
    6,928.21x = 53,474,383.95
  5. Step 5: Solve for x
    x = 53,474,383.95/6,928.21
  6. Step 6: Final answer
    x = 7,718.35

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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.