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Finding the Fourth Proportional to 9,770.21, 13,482.86 and 5,294.06

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Solution

The fourth proportional to 9,770.21, 13,482.86 and 5,294.06 is: 7,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.21 : 13,482.86 = 5,294.06 : x
  2. Step 2: Convert to fraction form
    9,770.21/13,482.86 = 5,294.06/x
  3. Step 3: Cross multiply
    9,770.21x = 13,482.86 × 5,294.06
  4. Step 4: Simplify right side
    9,770.21x = 71,378,975.93
  5. Step 5: Solve for x
    x = 71,378,975.93/9,770.21
  6. Step 6: Final answer
    x = 7,305.78

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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.