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Finding the Fourth Proportional to 6,335.64, 9,506.03 and 2,637.18

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Solution

The fourth proportional to 6,335.64, 9,506.03 and 2,637.18 is: 3,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.64 : 9,506.03 = 2,637.18 : x
  2. Step 2: Convert to fraction form
    6,335.64/9,506.03 = 2,637.18/x
  3. Step 3: Cross multiply
    6,335.64x = 9,506.03 × 2,637.18
  4. Step 4: Simplify right side
    6,335.64x = 25,069,099.01
  5. Step 5: Solve for x
    x = 25,069,099.01/6,335.64
  6. Step 6: Final answer
    x = 3,956.84

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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.