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Finding the Fourth Proportional to 9,374.32, 12,932.67 and 6,016.42

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Solution

The fourth proportional to 9,374.32, 12,932.67 and 6,016.42 is: 8,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.32 : 12,932.67 = 6,016.42 : x
  2. Step 2: Convert to fraction form
    9,374.32/12,932.67 = 6,016.42/x
  3. Step 3: Cross multiply
    9,374.32x = 12,932.67 × 6,016.42
  4. Step 4: Simplify right side
    9,374.32x = 77,808,374.44
  5. Step 5: Solve for x
    x = 77,808,374.44/9,374.32
  6. Step 6: Final answer
    x = 8,300.16

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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.