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Finding the Fourth Proportional to 9,677.52, 14,512.50 and 6,164.42

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Solution

The fourth proportional to 9,677.52, 14,512.50 and 6,164.42 is: 9,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.52 : 14,512.50 = 6,164.42 : x
  2. Step 2: Convert to fraction form
    9,677.52/14,512.50 = 6,164.42/x
  3. Step 3: Cross multiply
    9,677.52x = 14,512.50 × 6,164.42
  4. Step 4: Simplify right side
    9,677.52x = 89,461,072.69
  5. Step 5: Solve for x
    x = 89,461,072.69/9,677.52
  6. Step 6: Final answer
    x = 9,244.21

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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.