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Finding the Fourth Proportional to 9,564.57, 14,328.29 and 7,593.84

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Solution

The fourth proportional to 9,564.57, 14,328.29 and 7,593.84 is: 11,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.57 : 14,328.29 = 7,593.84 : x
  2. Step 2: Convert to fraction form
    9,564.57/14,328.29 = 7,593.84/x
  3. Step 3: Cross multiply
    9,564.57x = 14,328.29 × 7,593.84
  4. Step 4: Simplify right side
    9,564.57x = 108,806,760.72
  5. Step 5: Solve for x
    x = 108,806,760.72/9,564.57
  6. Step 6: Final answer
    x = 11,376.02

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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.