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Finding the Fourth Proportional to 9,728.57, 14,593.19 and 3,154.81

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Solution

The fourth proportional to 9,728.57, 14,593.19 and 3,154.81 is: 4,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.57 : 14,593.19 = 3,154.81 : x
  2. Step 2: Convert to fraction form
    9,728.57/14,593.19 = 3,154.81/x
  3. Step 3: Cross multiply
    9,728.57x = 14,593.19 × 3,154.81
  4. Step 4: Simplify right side
    9,728.57x = 46,038,689.49
  5. Step 5: Solve for x
    x = 46,038,689.49/9,728.57
  6. Step 6: Final answer
    x = 4,732.32

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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.