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Finding the Fourth Proportional to 9,500.28, 14,252.06 and 4,237.16

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Solution

The fourth proportional to 9,500.28, 14,252.06 and 4,237.16 is: 6,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.28 : 14,252.06 = 4,237.16 : x
  2. Step 2: Convert to fraction form
    9,500.28/14,252.06 = 4,237.16/x
  3. Step 3: Cross multiply
    9,500.28x = 14,252.06 × 4,237.16
  4. Step 4: Simplify right side
    9,500.28x = 60,388,258.55
  5. Step 5: Solve for x
    x = 60,388,258.55/9,500.28
  6. Step 6: Final answer
    x = 6,356.47

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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.