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Finding the Fourth Proportional to 9,224.11, 12,714.09 and 6,536.23

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Solution

The fourth proportional to 9,224.11, 12,714.09 and 6,536.23 is: 9,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.11 : 12,714.09 = 6,536.23 : x
  2. Step 2: Convert to fraction form
    9,224.11/12,714.09 = 6,536.23/x
  3. Step 3: Cross multiply
    9,224.11x = 12,714.09 × 6,536.23
  4. Step 4: Simplify right side
    9,224.11x = 83,102,216.48
  5. Step 5: Solve for x
    x = 83,102,216.48/9,224.11
  6. Step 6: Final answer
    x = 9,009.24

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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.