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Finding the Fourth Proportional to 6,563.64, 9,844.72 and 2,345.98

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Solution

The fourth proportional to 6,563.64, 9,844.72 and 2,345.98 is: 3,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.64 : 9,844.72 = 2,345.98 : x
  2. Step 2: Convert to fraction form
    6,563.64/9,844.72 = 2,345.98/x
  3. Step 3: Cross multiply
    6,563.64x = 9,844.72 × 2,345.98
  4. Step 4: Simplify right side
    6,563.64x = 23,095,516.23
  5. Step 5: Solve for x
    x = 23,095,516.23/6,563.64
  6. Step 6: Final answer
    x = 3,518.71

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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.