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Finding the Fourth Proportional to 6,814.97, 9,442.52 and 6,667.35

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Solution

The fourth proportional to 6,814.97, 9,442.52 and 6,667.35 is: 9,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.97 : 9,442.52 = 6,667.35 : x
  2. Step 2: Convert to fraction form
    6,814.97/9,442.52 = 6,667.35/x
  3. Step 3: Cross multiply
    6,814.97x = 9,442.52 × 6,667.35
  4. Step 4: Simplify right side
    6,814.97x = 62,956,585.72
  5. Step 5: Solve for x
    x = 62,956,585.72/6,814.97
  6. Step 6: Final answer
    x = 9,237.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.