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Finding the Fourth Proportional to 9,152.48, 13,728.04 and 2,912.24

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Solution

The fourth proportional to 9,152.48, 13,728.04 and 2,912.24 is: 4,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.48 : 13,728.04 = 2,912.24 : x
  2. Step 2: Convert to fraction form
    9,152.48/13,728.04 = 2,912.24/x
  3. Step 3: Cross multiply
    9,152.48x = 13,728.04 × 2,912.24
  4. Step 4: Simplify right side
    9,152.48x = 39,979,347.21
  5. Step 5: Solve for x
    x = 39,979,347.21/9,152.48
  6. Step 6: Final answer
    x = 4,368.14

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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.