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Finding the Fourth Proportional to 6,563.64, 9,840.01 and 2,612.46

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Solution

The fourth proportional to 6,563.64, 9,840.01 and 2,612.46 is: 3,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.64 : 9,840.01 = 2,612.46 : x
  2. Step 2: Convert to fraction form
    6,563.64/9,840.01 = 2,612.46/x
  3. Step 3: Cross multiply
    6,563.64x = 9,840.01 × 2,612.46
  4. Step 4: Simplify right side
    6,563.64x = 25,706,570.26
  5. Step 5: Solve for x
    x = 25,706,570.26/6,563.64
  6. Step 6: Final answer
    x = 3,916.51

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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.