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Finding the Fourth Proportional to 9,223.68, 12,728.64 and 5,032.32

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Solution

The fourth proportional to 9,223.68, 12,728.64 and 5,032.32 is: 6,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.68 : 12,728.64 = 5,032.32 : x
  2. Step 2: Convert to fraction form
    9,223.68/12,728.64 = 5,032.32/x
  3. Step 3: Cross multiply
    9,223.68x = 12,728.64 × 5,032.32
  4. Step 4: Simplify right side
    9,223.68x = 64,054,589.64
  5. Step 5: Solve for x
    x = 64,054,589.64/9,223.68
  6. Step 6: Final answer
    x = 6,944.58

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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.