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Finding the Fourth Proportional to 9,800.24, 14,696.11 and 3,558.18

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Solution

The fourth proportional to 9,800.24, 14,696.11 and 3,558.18 is: 5,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.24 : 14,696.11 = 3,558.18 : x
  2. Step 2: Convert to fraction form
    9,800.24/14,696.11 = 3,558.18/x
  3. Step 3: Cross multiply
    9,800.24x = 14,696.11 × 3,558.18
  4. Step 4: Simplify right side
    9,800.24x = 52,291,313.41
  5. Step 5: Solve for x
    x = 52,291,313.41/9,800.24
  6. Step 6: Final answer
    x = 5,335.72

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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.