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Finding the Fourth Proportional to 9,734.19, 13,436.12 and 8,421.99

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Solution

The fourth proportional to 9,734.19, 13,436.12 and 8,421.99 is: 11,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.19 : 13,436.12 = 8,421.99 : x
  2. Step 2: Convert to fraction form
    9,734.19/13,436.12 = 8,421.99/x
  3. Step 3: Cross multiply
    9,734.19x = 13,436.12 × 8,421.99
  4. Step 4: Simplify right side
    9,734.19x = 113,158,868.28
  5. Step 5: Solve for x
    x = 113,158,868.28/9,734.19
  6. Step 6: Final answer
    x = 11,624.89

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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.