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Finding the Fourth Proportional to 9,396.68, 14,095.74 and 2,471

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Solution

The fourth proportional to 9,396.68, 14,095.74 and 2,471 is: 3,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.68 : 14,095.74 = 2,471 : x
  2. Step 2: Convert to fraction form
    9,396.68/14,095.74 = 2,471/x
  3. Step 3: Cross multiply
    9,396.68x = 14,095.74 × 2,471
  4. Step 4: Simplify right side
    9,396.68x = 34,830,573.54
  5. Step 5: Solve for x
    x = 34,830,573.54/9,396.68
  6. Step 6: Final answer
    x = 3,706.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.