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Finding the Fourth Proportional to 7,054.29, 9,732.15 and 4,929.26

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Solution

The fourth proportional to 7,054.29, 9,732.15 and 4,929.26 is: 6,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.29 : 9,732.15 = 4,929.26 : x
  2. Step 2: Convert to fraction form
    7,054.29/9,732.15 = 4,929.26/x
  3. Step 3: Cross multiply
    7,054.29x = 9,732.15 × 4,929.26
  4. Step 4: Simplify right side
    7,054.29x = 47,972,249.05
  5. Step 5: Solve for x
    x = 47,972,249.05/7,054.29
  6. Step 6: Final answer
    x = 6,800.44

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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.