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Finding the Fourth Proportional to 9,717.56, 14,576.38 and 2,698.13

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Solution

The fourth proportional to 9,717.56, 14,576.38 and 2,698.13 is: 4,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.56 : 14,576.38 = 2,698.13 : x
  2. Step 2: Convert to fraction form
    9,717.56/14,576.38 = 2,698.13/x
  3. Step 3: Cross multiply
    9,717.56x = 14,576.38 × 2,698.13
  4. Step 4: Simplify right side
    9,717.56x = 39,328,968.17
  5. Step 5: Solve for x
    x = 39,328,968.17/9,717.56
  6. Step 6: Final answer
    x = 4,047.21

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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.