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Finding the Fourth Proportional to 6,470.16, 9,709.44 and 3,550.50

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Solution

The fourth proportional to 6,470.16, 9,709.44 and 3,550.50 is: 5,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.16 : 9,709.44 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    6,470.16/9,709.44 = 3,550.50/x
  3. Step 3: Cross multiply
    6,470.16x = 9,709.44 × 3,550.50
  4. Step 4: Simplify right side
    6,470.16x = 34,473,366.72
  5. Step 5: Solve for x
    x = 34,473,366.72/6,470.16
  6. Step 6: Final answer
    x = 5,328.05

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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.