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Finding the Fourth Proportional to 9,152.12, 13,728.17 and 4,778.12

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Solution

The fourth proportional to 9,152.12, 13,728.17 and 4,778.12 is: 7,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.12 : 13,728.17 = 4,778.12 : x
  2. Step 2: Convert to fraction form
    9,152.12/13,728.17 = 4,778.12/x
  3. Step 3: Cross multiply
    9,152.12x = 13,728.17 × 4,778.12
  4. Step 4: Simplify right side
    9,152.12x = 65,594,889.91
  5. Step 5: Solve for x
    x = 65,594,889.91/9,152.12
  6. Step 6: Final answer
    x = 7,167.18

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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.