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Finding the Fourth Proportional to 6,763.30, 9,332.58 and 4,209.40

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Solution

The fourth proportional to 6,763.30, 9,332.58 and 4,209.40 is: 5,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.30 : 9,332.58 = 4,209.40 : x
  2. Step 2: Convert to fraction form
    6,763.30/9,332.58 = 4,209.40/x
  3. Step 3: Cross multiply
    6,763.30x = 9,332.58 × 4,209.40
  4. Step 4: Simplify right side
    6,763.30x = 39,284,562.25
  5. Step 5: Solve for x
    x = 39,284,562.25/6,763.30
  6. Step 6: Final answer
    x = 5,808.49

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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.