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Finding the Fourth Proportional to 9,107.40, 12,567.42 and 5,128.14

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Solution

The fourth proportional to 9,107.40, 12,567.42 and 5,128.14 is: 7,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.40 : 12,567.42 = 5,128.14 : x
  2. Step 2: Convert to fraction form
    9,107.40/12,567.42 = 5,128.14/x
  3. Step 3: Cross multiply
    9,107.40x = 12,567.42 × 5,128.14
  4. Step 4: Simplify right side
    9,107.40x = 64,447,489.20
  5. Step 5: Solve for x
    x = 64,447,489.20/9,107.40
  6. Step 6: Final answer
    x = 7,076.39

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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.