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Finding the Fourth Proportional to 9,033.95, 13,544.24 and 4,287.76

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Solution

The fourth proportional to 9,033.95, 13,544.24 and 4,287.76 is: 6,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.95 : 13,544.24 = 4,287.76 : x
  2. Step 2: Convert to fraction form
    9,033.95/13,544.24 = 4,287.76/x
  3. Step 3: Cross multiply
    9,033.95x = 13,544.24 × 4,287.76
  4. Step 4: Simplify right side
    9,033.95x = 58,074,395.20
  5. Step 5: Solve for x
    x = 58,074,395.20/9,033.95
  6. Step 6: Final answer
    x = 6,428.46

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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.