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Finding the Fourth Proportional to 8,400.92, 11,594.14 and 6,301.40

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Solution

The fourth proportional to 8,400.92, 11,594.14 and 6,301.40 is: 8,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.92 : 11,594.14 = 6,301.40 : x
  2. Step 2: Convert to fraction form
    8,400.92/11,594.14 = 6,301.40/x
  3. Step 3: Cross multiply
    8,400.92x = 11,594.14 × 6,301.40
  4. Step 4: Simplify right side
    8,400.92x = 73,059,240.07
  5. Step 5: Solve for x
    x = 73,059,240.07/8,400.92
  6. Step 6: Final answer
    x = 8,696.58

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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.