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Finding the Fourth Proportional to 8,309.56, 12,467.04 and 5,547.46

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Solution

The fourth proportional to 8,309.56, 12,467.04 and 5,547.46 is: 8,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.56 : 12,467.04 = 5,547.46 : x
  2. Step 2: Convert to fraction form
    8,309.56/12,467.04 = 5,547.46/x
  3. Step 3: Cross multiply
    8,309.56x = 12,467.04 × 5,547.46
  4. Step 4: Simplify right side
    8,309.56x = 69,160,405.72
  5. Step 5: Solve for x
    x = 69,160,405.72/8,309.56
  6. Step 6: Final answer
    x = 8,322.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.