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Finding the Fourth Proportional to 9,503.49, 13,107.69 and 8,428.02

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Solution

The fourth proportional to 9,503.49, 13,107.69 and 8,428.02 is: 11,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.49 : 13,107.69 = 8,428.02 : x
  2. Step 2: Convert to fraction form
    9,503.49/13,107.69 = 8,428.02/x
  3. Step 3: Cross multiply
    9,503.49x = 13,107.69 × 8,428.02
  4. Step 4: Simplify right side
    9,503.49x = 110,471,873.47
  5. Step 5: Solve for x
    x = 110,471,873.47/9,503.49
  6. Step 6: Final answer
    x = 11,624.35

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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.