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Finding the Fourth Proportional to 9,064.36, 13,583.78 and 7,207.23

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Solution

The fourth proportional to 9,064.36, 13,583.78 and 7,207.23 is: 10,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.36 : 13,583.78 = 7,207.23 : x
  2. Step 2: Convert to fraction form
    9,064.36/13,583.78 = 7,207.23/x
  3. Step 3: Cross multiply
    9,064.36x = 13,583.78 × 7,207.23
  4. Step 4: Simplify right side
    9,064.36x = 97,901,371.98
  5. Step 5: Solve for x
    x = 97,901,371.98/9,064.36
  6. Step 6: Final answer
    x = 10,800.70

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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.