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Finding the Fourth Proportional to 9,814.87, 13,539.75 and 5,833.16

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Solution

The fourth proportional to 9,814.87, 13,539.75 and 5,833.16 is: 8,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.87 : 13,539.75 = 5,833.16 : x
  2. Step 2: Convert to fraction form
    9,814.87/13,539.75 = 5,833.16/x
  3. Step 3: Cross multiply
    9,814.87x = 13,539.75 × 5,833.16
  4. Step 4: Simplify right side
    9,814.87x = 78,979,528.11
  5. Step 5: Solve for x
    x = 78,979,528.11/9,814.87
  6. Step 6: Final answer
    x = 8,046.93

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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.