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Finding the Fourth Proportional to 9,696.54, 14,531.14 and 4,418.58

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Solution

The fourth proportional to 9,696.54, 14,531.14 and 4,418.58 is: 6,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.54 : 14,531.14 = 4,418.58 : x
  2. Step 2: Convert to fraction form
    9,696.54/14,531.14 = 4,418.58/x
  3. Step 3: Cross multiply
    9,696.54x = 14,531.14 × 4,418.58
  4. Step 4: Simplify right side
    9,696.54x = 64,206,946.16
  5. Step 5: Solve for x
    x = 64,206,946.16/9,696.54
  6. Step 6: Final answer
    x = 6,621.64

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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.