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Finding the Fourth Proportional to 9,722.54, 13,414.98 and 6,184.46

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Solution

The fourth proportional to 9,722.54, 13,414.98 and 6,184.46 is: 8,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.54 : 13,414.98 = 6,184.46 : x
  2. Step 2: Convert to fraction form
    9,722.54/13,414.98 = 6,184.46/x
  3. Step 3: Cross multiply
    9,722.54x = 13,414.98 × 6,184.46
  4. Step 4: Simplify right side
    9,722.54x = 82,964,407.21
  5. Step 5: Solve for x
    x = 82,964,407.21/9,722.54
  6. Step 6: Final answer
    x = 8,533.20

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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.