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Finding the Fourth Proportional to 6,469.34, 9,653.98 and 5,770.40

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Solution

The fourth proportional to 6,469.34, 9,653.98 and 5,770.40 is: 8,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.34 : 9,653.98 = 5,770.40 : x
  2. Step 2: Convert to fraction form
    6,469.34/9,653.98 = 5,770.40/x
  3. Step 3: Cross multiply
    6,469.34x = 9,653.98 × 5,770.40
  4. Step 4: Simplify right side
    6,469.34x = 55,707,326.19
  5. Step 5: Solve for x
    x = 55,707,326.19/6,469.34
  6. Step 6: Final answer
    x = 8,610.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.