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Finding the Fourth Proportional to 9,680.90, 14,513.53 and 3,754.72

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Solution

The fourth proportional to 9,680.90, 14,513.53 and 3,754.72 is: 5,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.90 : 14,513.53 = 3,754.72 : x
  2. Step 2: Convert to fraction form
    9,680.90/14,513.53 = 3,754.72/x
  3. Step 3: Cross multiply
    9,680.90x = 14,513.53 × 3,754.72
  4. Step 4: Simplify right side
    9,680.90x = 54,494,275.89
  5. Step 5: Solve for x
    x = 54,494,275.89/9,680.90
  6. Step 6: Final answer
    x = 5,629.05

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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.