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Finding the Fourth Proportional to 6,582.45, 9,077.76 and 5,147

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Solution

The fourth proportional to 6,582.45, 9,077.76 and 5,147 is: 7,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.45 : 9,077.76 = 5,147 : x
  2. Step 2: Convert to fraction form
    6,582.45/9,077.76 = 5,147/x
  3. Step 3: Cross multiply
    6,582.45x = 9,077.76 × 5,147
  4. Step 4: Simplify right side
    6,582.45x = 46,723,230.72
  5. Step 5: Solve for x
    x = 46,723,230.72/6,582.45
  6. Step 6: Final answer
    x = 7,098.15

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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.