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Finding the Fourth Proportional to 27,047.72, 40,577.05 and 9,277.74

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Solution

The fourth proportional to 27,047.72, 40,577.05 and 9,277.74 is: 13,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.72 : 40,577.05 = 9,277.74 : x
  2. Step 2: Convert to fraction form
    27,047.72/40,577.05 = 9,277.74/x
  3. Step 3: Cross multiply
    27,047.72x = 40,577.05 × 9,277.74
  4. Step 4: Simplify right side
    27,047.72x = 376,463,331.46
  5. Step 5: Solve for x
    x = 376,463,331.46/27,047.72
  6. Step 6: Final answer
    x = 13,918.49

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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.