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Finding the Fourth Proportional to 9,164.16, 12,642.72 and 5,621.28

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Solution

The fourth proportional to 9,164.16, 12,642.72 and 5,621.28 is: 7,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 12,642.72 = 5,621.28 : x
  2. Step 2: Convert to fraction form
    9,164.16/12,642.72 = 5,621.28/x
  3. Step 3: Cross multiply
    9,164.16x = 12,642.72 × 5,621.28
  4. Step 4: Simplify right side
    9,164.16x = 71,068,269.08
  5. Step 5: Solve for x
    x = 71,068,269.08/9,164.16
  6. Step 6: Final answer
    x = 7,755.02

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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.