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Finding the Fourth Proportional to 37,849.40, 56,774.10 and 9,769.40

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Solution

The fourth proportional to 37,849.40, 56,774.10 and 9,769.40 is: 14,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849.40 : 56,774.10 = 9,769.40 : x
  2. Step 2: Convert to fraction form
    37,849.40/56,774.10 = 9,769.40/x
  3. Step 3: Cross multiply
    37,849.40x = 56,774.10 × 9,769.40
  4. Step 4: Simplify right side
    37,849.40x = 554,648,892.54
  5. Step 5: Solve for x
    x = 554,648,892.54/37,849.40
  6. Step 6: Final answer
    x = 14,654.10

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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.