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Finding the Fourth Proportional to 9,812.64, 13,529.52 and 8,549.04

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Solution

The fourth proportional to 9,812.64, 13,529.52 and 8,549.04 is: 11,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.64 : 13,529.52 = 8,549.04 : x
  2. Step 2: Convert to fraction form
    9,812.64/13,529.52 = 8,549.04/x
  3. Step 3: Cross multiply
    9,812.64x = 13,529.52 × 8,549.04
  4. Step 4: Simplify right side
    9,812.64x = 115,664,407.66
  5. Step 5: Solve for x
    x = 115,664,407.66/9,812.64
  6. Step 6: Final answer
    x = 11,787.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.