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Finding the Fourth Proportional to 6,526.98, 9,007.16 and 3,694.92

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Solution

The fourth proportional to 6,526.98, 9,007.16 and 3,694.92 is: 5,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.98 : 9,007.16 = 3,694.92 : x
  2. Step 2: Convert to fraction form
    6,526.98/9,007.16 = 3,694.92/x
  3. Step 3: Cross multiply
    6,526.98x = 9,007.16 × 3,694.92
  4. Step 4: Simplify right side
    6,526.98x = 33,280,735.63
  5. Step 5: Solve for x
    x = 33,280,735.63/6,526.98
  6. Step 6: Final answer
    x = 5,098.95

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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.