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Finding the Fourth Proportional to 6,345.74, 8,756.89 and 3,513.12

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Solution

The fourth proportional to 6,345.74, 8,756.89 and 3,513.12 is: 4,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.74 : 8,756.89 = 3,513.12 : x
  2. Step 2: Convert to fraction form
    6,345.74/8,756.89 = 3,513.12/x
  3. Step 3: Cross multiply
    6,345.74x = 8,756.89 × 3,513.12
  4. Step 4: Simplify right side
    6,345.74x = 30,764,005.40
  5. Step 5: Solve for x
    x = 30,764,005.40/6,345.74
  6. Step 6: Final answer
    x = 4,847.98

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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.