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Finding the Fourth Proportional to 9,423, 13,001.06 and 6,067.75

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Solution

The fourth proportional to 9,423, 13,001.06 and 6,067.75 is: 8,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423 : 13,001.06 = 6,067.75 : x
  2. Step 2: Convert to fraction form
    9,423/13,001.06 = 6,067.75/x
  3. Step 3: Cross multiply
    9,423x = 13,001.06 × 6,067.75
  4. Step 4: Simplify right side
    9,423x = 78,887,181.82
  5. Step 5: Solve for x
    x = 78,887,181.82/9,423
  6. Step 6: Final answer
    x = 8,371.77

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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.