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Finding the Fourth Proportional to 9,023, 12,452.94 and 5,297

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Solution

The fourth proportional to 9,023, 12,452.94 and 5,297 is: 7,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023 : 12,452.94 = 5,297 : x
  2. Step 2: Convert to fraction form
    9,023/12,452.94 = 5,297/x
  3. Step 3: Cross multiply
    9,023x = 12,452.94 × 5,297
  4. Step 4: Simplify right side
    9,023x = 65,963,223.18
  5. Step 5: Solve for x
    x = 65,963,223.18/9,023
  6. Step 6: Final answer
    x = 7,310.56

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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.