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Finding the Fourth Proportional to 9,522.87, 14,275.55 and 3,281.40

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Solution

The fourth proportional to 9,522.87, 14,275.55 and 3,281.40 is: 4,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.87 : 14,275.55 = 3,281.40 : x
  2. Step 2: Convert to fraction form
    9,522.87/14,275.55 = 3,281.40/x
  3. Step 3: Cross multiply
    9,522.87x = 14,275.55 × 3,281.40
  4. Step 4: Simplify right side
    9,522.87x = 46,843,797.97
  5. Step 5: Solve for x
    x = 46,843,797.97/9,522.87
  6. Step 6: Final answer
    x = 4,919.08

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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.