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Finding the Fourth Proportional to 9,677.50, 13,354.96 and 5,261.50

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Solution

The fourth proportional to 9,677.50, 13,354.96 and 5,261.50 is: 7,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.50 : 13,354.96 = 5,261.50 : x
  2. Step 2: Convert to fraction form
    9,677.50/13,354.96 = 5,261.50/x
  3. Step 3: Cross multiply
    9,677.50x = 13,354.96 × 5,261.50
  4. Step 4: Simplify right side
    9,677.50x = 70,267,122.04
  5. Step 5: Solve for x
    x = 70,267,122.04/9,677.50
  6. Step 6: Final answer
    x = 7,260.88

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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.