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Finding the Fourth Proportional to 9,677.44, 13,357.02 and 6,145.48

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Solution

The fourth proportional to 9,677.44, 13,357.02 and 6,145.48 is: 8,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.44 : 13,357.02 = 6,145.48 : x
  2. Step 2: Convert to fraction form
    9,677.44/13,357.02 = 6,145.48/x
  3. Step 3: Cross multiply
    9,677.44x = 13,357.02 × 6,145.48
  4. Step 4: Simplify right side
    9,677.44x = 82,085,299.27
  5. Step 5: Solve for x
    x = 82,085,299.27/9,677.44
  6. Step 6: Final answer
    x = 8,482.13

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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.