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Finding the Fourth Proportional to 8,222.58, 12,346.17 and 6,574.26

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Solution

The fourth proportional to 8,222.58, 12,346.17 and 6,574.26 is: 9,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.58 : 12,346.17 = 6,574.26 : x
  2. Step 2: Convert to fraction form
    8,222.58/12,346.17 = 6,574.26/x
  3. Step 3: Cross multiply
    8,222.58x = 12,346.17 × 6,574.26
  4. Step 4: Simplify right side
    8,222.58x = 81,166,931.58
  5. Step 5: Solve for x
    x = 81,166,931.58/8,222.58
  6. Step 6: Final answer
    x = 9,871.22

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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.