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Finding the Fourth Proportional to 7,734.47, 10,646.47 and 6,738.02

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Solution

The fourth proportional to 7,734.47, 10,646.47 and 6,738.02 is: 9,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.47 : 10,646.47 = 6,738.02 : x
  2. Step 2: Convert to fraction form
    7,734.47/10,646.47 = 6,738.02/x
  3. Step 3: Cross multiply
    7,734.47x = 10,646.47 × 6,738.02
  4. Step 4: Simplify right side
    7,734.47x = 71,736,040.87
  5. Step 5: Solve for x
    x = 71,736,040.87/7,734.47
  6. Step 6: Final answer
    x = 9,274.85

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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.