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Finding the Fourth Proportional to 9,184.22, 12,674.18 and 4,992.48

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Solution

The fourth proportional to 9,184.22, 12,674.18 and 4,992.48 is: 6,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.22 : 12,674.18 = 4,992.48 : x
  2. Step 2: Convert to fraction form
    9,184.22/12,674.18 = 4,992.48/x
  3. Step 3: Cross multiply
    9,184.22x = 12,674.18 × 4,992.48
  4. Step 4: Simplify right side
    9,184.22x = 63,275,590.17
  5. Step 5: Solve for x
    x = 63,275,590.17/9,184.22
  6. Step 6: Final answer
    x = 6,889.60

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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.