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Finding the Fourth Proportional to 9,896.16, 14,832.72 and 5,507.04

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Solution

The fourth proportional to 9,896.16, 14,832.72 and 5,507.04 is: 8,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.16 : 14,832.72 = 5,507.04 : x
  2. Step 2: Convert to fraction form
    9,896.16/14,832.72 = 5,507.04/x
  3. Step 3: Cross multiply
    9,896.16x = 14,832.72 × 5,507.04
  4. Step 4: Simplify right side
    9,896.16x = 81,684,382.35
  5. Step 5: Solve for x
    x = 81,684,382.35/9,896.16
  6. Step 6: Final answer
    x = 8,254.15

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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.