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Finding the Fourth Proportional to 9,322.32, 13,974.16 and 5,164.24

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Solution

The fourth proportional to 9,322.32, 13,974.16 and 5,164.24 is: 7,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.32 : 13,974.16 = 5,164.24 : x
  2. Step 2: Convert to fraction form
    9,322.32/13,974.16 = 5,164.24/x
  3. Step 3: Cross multiply
    9,322.32x = 13,974.16 × 5,164.24
  4. Step 4: Simplify right side
    9,322.32x = 72,165,916.04
  5. Step 5: Solve for x
    x = 72,165,916.04/9,322.32
  6. Step 6: Final answer
    x = 7,741.20

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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.