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Finding the Fourth Proportional to 9,006.23, 13,509.40 and 5,712.40

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Solution

The fourth proportional to 9,006.23, 13,509.40 and 5,712.40 is: 8,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.23 : 13,509.40 = 5,712.40 : x
  2. Step 2: Convert to fraction form
    9,006.23/13,509.40 = 5,712.40/x
  3. Step 3: Cross multiply
    9,006.23x = 13,509.40 × 5,712.40
  4. Step 4: Simplify right side
    9,006.23x = 77,171,047.78
  5. Step 5: Solve for x
    x = 77,171,047.78/9,006.23
  6. Step 6: Final answer
    x = 8,568.63

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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.