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Finding the Fourth Proportional to 9,696.17, 14,543.44 and 3,851.21

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Solution

The fourth proportional to 9,696.17, 14,543.44 and 3,851.21 is: 5,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.17 : 14,543.44 = 3,851.21 : x
  2. Step 2: Convert to fraction form
    9,696.17/14,543.44 = 3,851.21/x
  3. Step 3: Cross multiply
    9,696.17x = 14,543.44 × 3,851.21
  4. Step 4: Simplify right side
    9,696.17x = 56,009,841.56
  5. Step 5: Solve for x
    x = 56,009,841.56/9,696.17
  6. Step 6: Final answer
    x = 5,776.49

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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.