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Finding the Fourth Proportional to 9,522.87, 14,285.94 and 3,283.53

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Solution

The fourth proportional to 9,522.87, 14,285.94 and 3,283.53 is: 4,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.87 : 14,285.94 = 3,283.53 : x
  2. Step 2: Convert to fraction form
    9,522.87/14,285.94 = 3,283.53/x
  3. Step 3: Cross multiply
    9,522.87x = 14,285.94 × 3,283.53
  4. Step 4: Simplify right side
    9,522.87x = 46,908,312.57
  5. Step 5: Solve for x
    x = 46,908,312.57/9,522.87
  6. Step 6: Final answer
    x = 4,925.86

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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.