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Finding the Fourth Proportional to 6,440.04, 9,646.17 and 4,348.56

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Solution

The fourth proportional to 6,440.04, 9,646.17 and 4,348.56 is: 6,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.04 : 9,646.17 = 4,348.56 : x
  2. Step 2: Convert to fraction form
    6,440.04/9,646.17 = 4,348.56/x
  3. Step 3: Cross multiply
    6,440.04x = 9,646.17 × 4,348.56
  4. Step 4: Simplify right side
    6,440.04x = 41,946,949.02
  5. Step 5: Solve for x
    x = 41,946,949.02/6,440.04
  6. Step 6: Final answer
    x = 6,513.46

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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.