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Finding the Fourth Proportional to 9,188.49, 13,781.99 and 2,946.82

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Solution

The fourth proportional to 9,188.49, 13,781.99 and 2,946.82 is: 4,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.49 : 13,781.99 = 2,946.82 : x
  2. Step 2: Convert to fraction form
    9,188.49/13,781.99 = 2,946.82/x
  3. Step 3: Cross multiply
    9,188.49x = 13,781.99 × 2,946.82
  4. Step 4: Simplify right side
    9,188.49x = 40,613,043.77
  5. Step 5: Solve for x
    x = 40,613,043.77/9,188.49
  6. Step 6: Final answer
    x = 4,419.99

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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.