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Finding the Fourth Proportional to 9,153.28, 13,745.10 and 5,712.40

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Solution

The fourth proportional to 9,153.28, 13,745.10 and 5,712.40 is: 8,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.28 : 13,745.10 = 5,712.40 : x
  2. Step 2: Convert to fraction form
    9,153.28/13,745.10 = 5,712.40/x
  3. Step 3: Cross multiply
    9,153.28x = 13,745.10 × 5,712.40
  4. Step 4: Simplify right side
    9,153.28x = 78,517,509.24
  5. Step 5: Solve for x
    x = 78,517,509.24/9,153.28
  6. Step 6: Final answer
    x = 8,578.07

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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.