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Finding the Fourth Proportional to 9,277.68, 13,897.97 and 5,577.87

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Solution

The fourth proportional to 9,277.68, 13,897.97 and 5,577.87 is: 8,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.68 : 13,897.97 = 5,577.87 : x
  2. Step 2: Convert to fraction form
    9,277.68/13,897.97 = 5,577.87/x
  3. Step 3: Cross multiply
    9,277.68x = 13,897.97 × 5,577.87
  4. Step 4: Simplify right side
    9,277.68x = 77,521,042.03
  5. Step 5: Solve for x
    x = 77,521,042.03/9,277.68
  6. Step 6: Final answer
    x = 8,355.65

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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.