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Finding the Fourth Proportional to 9,791.34, 13,498.83 and 6,642.06

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Solution

The fourth proportional to 9,791.34, 13,498.83 and 6,642.06 is: 9,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.34 : 13,498.83 = 6,642.06 : x
  2. Step 2: Convert to fraction form
    9,791.34/13,498.83 = 6,642.06/x
  3. Step 3: Cross multiply
    9,791.34x = 13,498.83 × 6,642.06
  4. Step 4: Simplify right side
    9,791.34x = 89,660,038.79
  5. Step 5: Solve for x
    x = 89,660,038.79/9,791.34
  6. Step 6: Final answer
    x = 9,157.08

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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.