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Finding the Fourth Proportional to 9,108.34, 12,569.25 and 5,129.36

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Solution

The fourth proportional to 9,108.34, 12,569.25 and 5,129.36 is: 7,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.34 : 12,569.25 = 5,129.36 : x
  2. Step 2: Convert to fraction form
    9,108.34/12,569.25 = 5,129.36/x
  3. Step 3: Cross multiply
    9,108.34x = 12,569.25 × 5,129.36
  4. Step 4: Simplify right side
    9,108.34x = 64,472,258.84
  5. Step 5: Solve for x
    x = 64,472,258.84/9,108.34
  6. Step 6: Final answer
    x = 7,078.38

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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.