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Finding the Fourth Proportional to 9,696.08, 14,548.44 and 5,078

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Solution

The fourth proportional to 9,696.08, 14,548.44 and 5,078 is: 7,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.08 : 14,548.44 = 5,078 : x
  2. Step 2: Convert to fraction form
    9,696.08/14,548.44 = 5,078/x
  3. Step 3: Cross multiply
    9,696.08x = 14,548.44 × 5,078
  4. Step 4: Simplify right side
    9,696.08x = 73,876,978.32
  5. Step 5: Solve for x
    x = 73,876,978.32/9,696.08
  6. Step 6: Final answer
    x = 7,619.26

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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.