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Finding the Fourth Proportional to 6,813.83, 9,405.49 and 5,023.40

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Solution

The fourth proportional to 6,813.83, 9,405.49 and 5,023.40 is: 6,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.83 : 9,405.49 = 5,023.40 : x
  2. Step 2: Convert to fraction form
    6,813.83/9,405.49 = 5,023.40/x
  3. Step 3: Cross multiply
    6,813.83x = 9,405.49 × 5,023.40
  4. Step 4: Simplify right side
    6,813.83x = 47,247,549.42
  5. Step 5: Solve for x
    x = 47,247,549.42/6,813.83
  6. Step 6: Final answer
    x = 6,934.06

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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.