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Finding the Fourth Proportional to 6,281.64, 9,422.74 and 2,065.16

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Solution

The fourth proportional to 6,281.64, 9,422.74 and 2,065.16 is: 3,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.64 : 9,422.74 = 2,065.16 : x
  2. Step 2: Convert to fraction form
    6,281.64/9,422.74 = 2,065.16/x
  3. Step 3: Cross multiply
    6,281.64x = 9,422.74 × 2,065.16
  4. Step 4: Simplify right side
    6,281.64x = 19,459,465.74
  5. Step 5: Solve for x
    x = 19,459,465.74/6,281.64
  6. Step 6: Final answer
    x = 3,097.83

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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.