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Finding the Fourth Proportional to 6,780.83, 9,354.69 and 4,543.43

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Solution

The fourth proportional to 6,780.83, 9,354.69 and 4,543.43 is: 6,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.83 : 9,354.69 = 4,543.43 : x
  2. Step 2: Convert to fraction form
    6,780.83/9,354.69 = 4,543.43/x
  3. Step 3: Cross multiply
    6,780.83x = 9,354.69 × 4,543.43
  4. Step 4: Simplify right side
    6,780.83x = 42,502,379.19
  5. Step 5: Solve for x
    x = 42,502,379.19/6,780.83
  6. Step 6: Final answer
    x = 6,268.02

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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.