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Finding the Fourth Proportional to 6,446.16, 9,661.56 and 2,976

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Solution

The fourth proportional to 6,446.16, 9,661.56 and 2,976 is: 4,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 9,661.56 = 2,976 : x
  2. Step 2: Convert to fraction form
    6,446.16/9,661.56 = 2,976/x
  3. Step 3: Cross multiply
    6,446.16x = 9,661.56 × 2,976
  4. Step 4: Simplify right side
    6,446.16x = 28,752,802.56
  5. Step 5: Solve for x
    x = 28,752,802.56/6,446.16
  6. Step 6: Final answer
    x = 4,460.45

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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.