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Finding the Fourth Proportional to 9,551.28, 13,180.74 and 5,825.28

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Solution

The fourth proportional to 9,551.28, 13,180.74 and 5,825.28 is: 8,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.28 : 13,180.74 = 5,825.28 : x
  2. Step 2: Convert to fraction form
    9,551.28/13,180.74 = 5,825.28/x
  3. Step 3: Cross multiply
    9,551.28x = 13,180.74 × 5,825.28
  4. Step 4: Simplify right side
    9,551.28x = 76,781,501.11
  5. Step 5: Solve for x
    x = 76,781,501.11/9,551.28
  6. Step 6: Final answer
    x = 8,038.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.