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Finding the Fourth Proportional to 6,509.40, 9,758.34 and 2,611.14

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Solution

The fourth proportional to 6,509.40, 9,758.34 and 2,611.14 is: 3,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 9,758.34 = 2,611.14 : x
  2. Step 2: Convert to fraction form
    6,509.40/9,758.34 = 2,611.14/x
  3. Step 3: Cross multiply
    6,509.40x = 9,758.34 × 2,611.14
  4. Step 4: Simplify right side
    6,509.40x = 25,480,391.91
  5. Step 5: Solve for x
    x = 25,480,391.91/6,509.40
  6. Step 6: Final answer
    x = 3,914.40

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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.