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Finding the Fourth Proportional to 9,311.58, 13,976.58 and 7,577.04

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Solution

The fourth proportional to 9,311.58, 13,976.58 and 7,577.04 is: 11,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.58 : 13,976.58 = 7,577.04 : x
  2. Step 2: Convert to fraction form
    9,311.58/13,976.58 = 7,577.04/x
  3. Step 3: Cross multiply
    9,311.58x = 13,976.58 × 7,577.04
  4. Step 4: Simplify right side
    9,311.58x = 105,901,105.72
  5. Step 5: Solve for x
    x = 105,901,105.72/9,311.58
  6. Step 6: Final answer
    x = 11,373.05

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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.