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Finding the Fourth Proportional to 6,930.96, 9,566.43 and 5,810.12

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Solution

The fourth proportional to 6,930.96, 9,566.43 and 5,810.12 is: 8,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.96 : 9,566.43 = 5,810.12 : x
  2. Step 2: Convert to fraction form
    6,930.96/9,566.43 = 5,810.12/x
  3. Step 3: Cross multiply
    6,930.96x = 9,566.43 × 5,810.12
  4. Step 4: Simplify right side
    6,930.96x = 55,582,108.40
  5. Step 5: Solve for x
    x = 55,582,108.40/6,930.96
  6. Step 6: Final answer
    x = 8,019.40

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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.