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Finding the Fourth Proportional to 6,077.48, 9,068.52 and 5,705.96

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Solution

The fourth proportional to 6,077.48, 9,068.52 and 5,705.96 is: 8,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.48 : 9,068.52 = 5,705.96 : x
  2. Step 2: Convert to fraction form
    6,077.48/9,068.52 = 5,705.96/x
  3. Step 3: Cross multiply
    6,077.48x = 9,068.52 × 5,705.96
  4. Step 4: Simplify right side
    6,077.48x = 51,744,612.38
  5. Step 5: Solve for x
    x = 51,744,612.38/6,077.48
  6. Step 6: Final answer
    x = 8,514.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.