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Finding the Fourth Proportional to 6,509.27, 8,976.08 and 5,568.18

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Solution

The fourth proportional to 6,509.27, 8,976.08 and 5,568.18 is: 7,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.27 : 8,976.08 = 5,568.18 : x
  2. Step 2: Convert to fraction form
    6,509.27/8,976.08 = 5,568.18/x
  3. Step 3: Cross multiply
    6,509.27x = 8,976.08 × 5,568.18
  4. Step 4: Simplify right side
    6,509.27x = 49,980,401.29
  5. Step 5: Solve for x
    x = 49,980,401.29/6,509.27
  6. Step 6: Final answer
    x = 7,678.35

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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.