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Finding the Fourth Proportional to 9,728.16, 14,592.74 and 3,154.88

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Solution

The fourth proportional to 9,728.16, 14,592.74 and 3,154.88 is: 4,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.16 : 14,592.74 = 3,154.88 : x
  2. Step 2: Convert to fraction form
    9,728.16/14,592.74 = 3,154.88/x
  3. Step 3: Cross multiply
    9,728.16x = 14,592.74 × 3,154.88
  4. Step 4: Simplify right side
    9,728.16x = 46,038,343.57
  5. Step 5: Solve for x
    x = 46,038,343.57/9,728.16
  6. Step 6: Final answer
    x = 4,732.48

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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.