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Finding the Fourth Proportional to 9,377.68, 14,062.72 and 4,696.08

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Solution

The fourth proportional to 9,377.68, 14,062.72 and 4,696.08 is: 7,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.68 : 14,062.72 = 4,696.08 : x
  2. Step 2: Convert to fraction form
    9,377.68/14,062.72 = 4,696.08/x
  3. Step 3: Cross multiply
    9,377.68x = 14,062.72 × 4,696.08
  4. Step 4: Simplify right side
    9,377.68x = 66,039,658.14
  5. Step 5: Solve for x
    x = 66,039,658.14/9,377.68
  6. Step 6: Final answer
    x = 7,042.22

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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.