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Finding the Fourth Proportional to 6,470.09, 9,707.41 and 3,185.49

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Solution

The fourth proportional to 6,470.09, 9,707.41 and 3,185.49 is: 4,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.09 : 9,707.41 = 3,185.49 : x
  2. Step 2: Convert to fraction form
    6,470.09/9,707.41 = 3,185.49/x
  3. Step 3: Cross multiply
    6,470.09x = 9,707.41 × 3,185.49
  4. Step 4: Simplify right side
    6,470.09x = 30,922,802.52
  5. Step 5: Solve for x
    x = 30,922,802.52/6,470.09
  6. Step 6: Final answer
    x = 4,779.35

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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.