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Finding the Fourth Proportional to 9,481.13, 14,221.58 and 7,402.84

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Solution

The fourth proportional to 9,481.13, 14,221.58 and 7,402.84 is: 11,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.13 : 14,221.58 = 7,402.84 : x
  2. Step 2: Convert to fraction form
    9,481.13/14,221.58 = 7,402.84/x
  3. Step 3: Cross multiply
    9,481.13x = 14,221.58 × 7,402.84
  4. Step 4: Simplify right side
    9,481.13x = 105,280,088.72
  5. Step 5: Solve for x
    x = 105,280,088.72/9,481.13
  6. Step 6: Final answer
    x = 11,104.18

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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.