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Finding the Fourth Proportional to 9,353.86, 12,908.55 and 5,577.75

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Solution

The fourth proportional to 9,353.86, 12,908.55 and 5,577.75 is: 7,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.86 : 12,908.55 = 5,577.75 : x
  2. Step 2: Convert to fraction form
    9,353.86/12,908.55 = 5,577.75/x
  3. Step 3: Cross multiply
    9,353.86x = 12,908.55 × 5,577.75
  4. Step 4: Simplify right side
    9,353.86x = 72,000,664.76
  5. Step 5: Solve for x
    x = 72,000,664.76/9,353.86
  6. Step 6: Final answer
    x = 7,697.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.