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Finding the Fourth Proportional to 9,204.18, 12,697.98 and 6,411.30

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Solution

The fourth proportional to 9,204.18, 12,697.98 and 6,411.30 is: 8,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.18 : 12,697.98 = 6,411.30 : x
  2. Step 2: Convert to fraction form
    9,204.18/12,697.98 = 6,411.30/x
  3. Step 3: Cross multiply
    9,204.18x = 12,697.98 × 6,411.30
  4. Step 4: Simplify right side
    9,204.18x = 81,410,559.17
  5. Step 5: Solve for x
    x = 81,410,559.17/9,204.18
  6. Step 6: Final answer
    x = 8,844.96

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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.