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Finding the Fourth Proportional to 9,184.32, 12,674.88 and 4,992.48

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Solution

The fourth proportional to 9,184.32, 12,674.88 and 4,992.48 is: 6,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.32 : 12,674.88 = 4,992.48 : x
  2. Step 2: Convert to fraction form
    9,184.32/12,674.88 = 4,992.48/x
  3. Step 3: Cross multiply
    9,184.32x = 12,674.88 × 4,992.48
  4. Step 4: Simplify right side
    9,184.32x = 63,279,084.90
  5. Step 5: Solve for x
    x = 63,279,084.90/9,184.32
  6. Step 6: Final answer
    x = 6,889.90

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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.