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Finding the Fourth Proportional to 9,813.64, 13,538.32 and 5,832.50

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Solution

The fourth proportional to 9,813.64, 13,538.32 and 5,832.50 is: 8,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.64 : 13,538.32 = 5,832.50 : x
  2. Step 2: Convert to fraction form
    9,813.64/13,538.32 = 5,832.50/x
  3. Step 3: Cross multiply
    9,813.64x = 13,538.32 × 5,832.50
  4. Step 4: Simplify right side
    9,813.64x = 78,962,251.40
  5. Step 5: Solve for x
    x = 78,962,251.40/9,813.64
  6. Step 6: Final answer
    x = 8,046.17

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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.