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Finding the Fourth Proportional to 9,145.17, 13,718.34 and 3,951

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Solution

The fourth proportional to 9,145.17, 13,718.34 and 3,951 is: 5,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.17 : 13,718.34 = 3,951 : x
  2. Step 2: Convert to fraction form
    9,145.17/13,718.34 = 3,951/x
  3. Step 3: Cross multiply
    9,145.17x = 13,718.34 × 3,951
  4. Step 4: Simplify right side
    9,145.17x = 54,201,161.34
  5. Step 5: Solve for x
    x = 54,201,161.34/9,145.17
  6. Step 6: Final answer
    x = 5,926.75

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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.