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Finding the Fourth Proportional to 9,356.04, 14,026.66 and 3,512

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Solution

The fourth proportional to 9,356.04, 14,026.66 and 3,512 is: 5,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.04 : 14,026.66 = 3,512 : x
  2. Step 2: Convert to fraction form
    9,356.04/14,026.66 = 3,512/x
  3. Step 3: Cross multiply
    9,356.04x = 14,026.66 × 3,512
  4. Step 4: Simplify right side
    9,356.04x = 49,261,629.92
  5. Step 5: Solve for x
    x = 49,261,629.92/9,356.04
  6. Step 6: Final answer
    x = 5,265.22

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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.