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Finding the Fourth Proportional to 9,189.79, 13,777.89 and 2,946.18

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Solution

The fourth proportional to 9,189.79, 13,777.89 and 2,946.18 is: 4,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.79 : 13,777.89 = 2,946.18 : x
  2. Step 2: Convert to fraction form
    9,189.79/13,777.89 = 2,946.18/x
  3. Step 3: Cross multiply
    9,189.79x = 13,777.89 × 2,946.18
  4. Step 4: Simplify right side
    9,189.79x = 40,592,143.96
  5. Step 5: Solve for x
    x = 40,592,143.96/9,189.79
  6. Step 6: Final answer
    x = 4,417.09

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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.