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Finding the Fourth Proportional to 7,137.79, 9,822.46 and 6,583.75

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Solution

The fourth proportional to 7,137.79, 9,822.46 and 6,583.75 is: 9,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.79 : 9,822.46 = 6,583.75 : x
  2. Step 2: Convert to fraction form
    7,137.79/9,822.46 = 6,583.75/x
  3. Step 3: Cross multiply
    7,137.79x = 9,822.46 × 6,583.75
  4. Step 4: Simplify right side
    7,137.79x = 64,668,621.03
  5. Step 5: Solve for x
    x = 64,668,621.03/7,137.79
  6. Step 6: Final answer
    x = 9,060.03

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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.