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Finding the Fourth Proportional to 9,184.74, 12,679.65 and 8,288.34

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Solution

The fourth proportional to 9,184.74, 12,679.65 and 8,288.34 is: 11,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.74 : 12,679.65 = 8,288.34 : x
  2. Step 2: Convert to fraction form
    9,184.74/12,679.65 = 8,288.34/x
  3. Step 3: Cross multiply
    9,184.74x = 12,679.65 × 8,288.34
  4. Step 4: Simplify right side
    9,184.74x = 105,093,250.28
  5. Step 5: Solve for x
    x = 105,093,250.28/9,184.74
  6. Step 6: Final answer
    x = 11,442.16

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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.