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Finding the Fourth Proportional to 9,929.23, 13,714.55 and 7,422.54

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Solution

The fourth proportional to 9,929.23, 13,714.55 and 7,422.54 is: 10,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.23 : 13,714.55 = 7,422.54 : x
  2. Step 2: Convert to fraction form
    9,929.23/13,714.55 = 7,422.54/x
  3. Step 3: Cross multiply
    9,929.23x = 13,714.55 × 7,422.54
  4. Step 4: Simplify right side
    9,929.23x = 101,796,735.25
  5. Step 5: Solve for x
    x = 101,796,735.25/9,929.23
  6. Step 6: Final answer
    x = 10,252.23

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