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Finding the Fourth Proportional to 9,770.33, 13,483.04 and 5,294.10

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Solution

The fourth proportional to 9,770.33, 13,483.04 and 5,294.10 is: 7,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.33 : 13,483.04 = 5,294.10 : x
  2. Step 2: Convert to fraction form
    9,770.33/13,483.04 = 5,294.10/x
  3. Step 3: Cross multiply
    9,770.33x = 13,483.04 × 5,294.10
  4. Step 4: Simplify right side
    9,770.33x = 71,380,562.06
  5. Step 5: Solve for x
    x = 71,380,562.06/9,770.33
  6. Step 6: Final answer
    x = 7,305.85

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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.