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Finding the Fourth Proportional to 6,519.43, 9,779.17 and 4,580.29

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Solution

The fourth proportional to 6,519.43, 9,779.17 and 4,580.29 is: 6,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.43 : 9,779.17 = 4,580.29 : x
  2. Step 2: Convert to fraction form
    6,519.43/9,779.17 = 4,580.29/x
  3. Step 3: Cross multiply
    6,519.43x = 9,779.17 × 4,580.29
  4. Step 4: Simplify right side
    6,519.43x = 44,791,434.56
  5. Step 5: Solve for x
    x = 44,791,434.56/6,519.43
  6. Step 6: Final answer
    x = 6,870.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.