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Finding the Fourth Proportional to 9,223.98, 12,713.92 and 6,536.10

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Solution

The fourth proportional to 9,223.98, 12,713.92 and 6,536.10 is: 9,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.98 : 12,713.92 = 6,536.10 : x
  2. Step 2: Convert to fraction form
    9,223.98/12,713.92 = 6,536.10/x
  3. Step 3: Cross multiply
    9,223.98x = 12,713.92 × 6,536.10
  4. Step 4: Simplify right side
    9,223.98x = 83,099,419.83
  5. Step 5: Solve for x
    x = 83,099,419.83/9,223.98
  6. Step 6: Final answer
    x = 9,009.06

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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.