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Finding the Fourth Proportional to 7,058.93, 9,738.72 and 4,226.36

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Solution

The fourth proportional to 7,058.93, 9,738.72 and 4,226.36 is: 5,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.93 : 9,738.72 = 4,226.36 : x
  2. Step 2: Convert to fraction form
    7,058.93/9,738.72 = 4,226.36/x
  3. Step 3: Cross multiply
    7,058.93x = 9,738.72 × 4,226.36
  4. Step 4: Simplify right side
    7,058.93x = 41,159,287.97
  5. Step 5: Solve for x
    x = 41,159,287.97/7,058.93
  6. Step 6: Final answer
    x = 5,830.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.