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Finding the Fourth Proportional to 6,509.10, 9,758.94 and 3,870.34

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Solution

The fourth proportional to 6,509.10, 9,758.94 and 3,870.34 is: 5,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.10 : 9,758.94 = 3,870.34 : x
  2. Step 2: Convert to fraction form
    6,509.10/9,758.94 = 3,870.34/x
  3. Step 3: Cross multiply
    6,509.10x = 9,758.94 × 3,870.34
  4. Step 4: Simplify right side
    6,509.10x = 37,770,415.84
  5. Step 5: Solve for x
    x = 37,770,415.84/6,509.10
  6. Step 6: Final answer
    x = 5,802.71

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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.