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Finding the Fourth Proportional to 9,676.62, 14,515.02 and 3,436.74

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Solution

The fourth proportional to 9,676.62, 14,515.02 and 3,436.74 is: 5,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.62 : 14,515.02 = 3,436.74 : x
  2. Step 2: Convert to fraction form
    9,676.62/14,515.02 = 3,436.74/x
  3. Step 3: Cross multiply
    9,676.62x = 14,515.02 × 3,436.74
  4. Step 4: Simplify right side
    9,676.62x = 49,884,349.83
  5. Step 5: Solve for x
    x = 49,884,349.83/9,676.62
  6. Step 6: Final answer
    x = 5,155.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.