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Finding the Fourth Proportional to 9,223.76, 12,728.78 and 5,032

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Solution

The fourth proportional to 9,223.76, 12,728.78 and 5,032 is: 6,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.76 : 12,728.78 = 5,032 : x
  2. Step 2: Convert to fraction form
    9,223.76/12,728.78 = 5,032/x
  3. Step 3: Cross multiply
    9,223.76x = 12,728.78 × 5,032
  4. Step 4: Simplify right side
    9,223.76x = 64,051,220.96
  5. Step 5: Solve for x
    x = 64,051,220.96/9,223.76
  6. Step 6: Final answer
    x = 6,944.16

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Why These Related Problems?

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