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Finding the Fourth Proportional to 6,529.34, 9,790.97 and 2,368.82

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Solution

The fourth proportional to 6,529.34, 9,790.97 and 2,368.82 is: 3,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.34 : 9,790.97 = 2,368.82 : x
  2. Step 2: Convert to fraction form
    6,529.34/9,790.97 = 2,368.82/x
  3. Step 3: Cross multiply
    6,529.34x = 9,790.97 × 2,368.82
  4. Step 4: Simplify right side
    6,529.34x = 23,192,984.76
  5. Step 5: Solve for x
    x = 23,192,984.76/6,529.34
  6. Step 6: Final answer
    x = 3,552.12

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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.