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Finding the Fourth Proportional to 6,506.60, 9,742.62 and 3,381.08

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Solution

The fourth proportional to 6,506.60, 9,742.62 and 3,381.08 is: 5,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.60 : 9,742.62 = 3,381.08 : x
  2. Step 2: Convert to fraction form
    6,506.60/9,742.62 = 3,381.08/x
  3. Step 3: Cross multiply
    6,506.60x = 9,742.62 × 3,381.08
  4. Step 4: Simplify right side
    6,506.60x = 32,940,577.63
  5. Step 5: Solve for x
    x = 32,940,577.63/6,506.60
  6. Step 6: Final answer
    x = 5,062.64

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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.