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Finding the Fourth Proportional to 9,398.46, 14,088.54 and 5,234.64

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Solution

The fourth proportional to 9,398.46, 14,088.54 and 5,234.64 is: 7,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.46 : 14,088.54 = 5,234.64 : x
  2. Step 2: Convert to fraction form
    9,398.46/14,088.54 = 5,234.64/x
  3. Step 3: Cross multiply
    9,398.46x = 14,088.54 × 5,234.64
  4. Step 4: Simplify right side
    9,398.46x = 73,748,435.03
  5. Step 5: Solve for x
    x = 73,748,435.03/9,398.46
  6. Step 6: Final answer
    x = 7,846.86

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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.