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Finding the Fourth Proportional to 9,763.17, 14,641.72 and 3,522.37

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Solution

The fourth proportional to 9,763.17, 14,641.72 and 3,522.37 is: 5,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.17 : 14,641.72 = 3,522.37 : x
  2. Step 2: Convert to fraction form
    9,763.17/14,641.72 = 3,522.37/x
  3. Step 3: Cross multiply
    9,763.17x = 14,641.72 × 3,522.37
  4. Step 4: Simplify right side
    9,763.17x = 51,573,506.05
  5. Step 5: Solve for x
    x = 51,573,506.05/9,763.17
  6. Step 6: Final answer
    x = 5,282.46

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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.