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Finding the Fourth Proportional to 9,416.34, 14,096.75 and 8,248.64

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Solution

The fourth proportional to 9,416.34, 14,096.75 and 8,248.64 is: 12,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.34 : 14,096.75 = 8,248.64 : x
  2. Step 2: Convert to fraction form
    9,416.34/14,096.75 = 8,248.64/x
  3. Step 3: Cross multiply
    9,416.34x = 14,096.75 × 8,248.64
  4. Step 4: Simplify right side
    9,416.34x = 116,278,904.19
  5. Step 5: Solve for x
    x = 116,278,904.19/9,416.34
  6. Step 6: Final answer
    x = 12,348.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.