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Finding the Fourth Proportional to 6,440.19, 9,665.15 and 4,713.27

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Solution

The fourth proportional to 6,440.19, 9,665.15 and 4,713.27 is: 7,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.19 : 9,665.15 = 4,713.27 : x
  2. Step 2: Convert to fraction form
    6,440.19/9,665.15 = 4,713.27/x
  3. Step 3: Cross multiply
    6,440.19x = 9,665.15 × 4,713.27
  4. Step 4: Simplify right side
    6,440.19x = 45,554,461.54
  5. Step 5: Solve for x
    x = 45,554,461.54/6,440.19
  6. Step 6: Final answer
    x = 7,073.47

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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.