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Finding the Fourth Proportional to 7,138.76, 9,893.48 and 7,029.40

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Solution

The fourth proportional to 7,138.76, 9,893.48 and 7,029.40 is: 9,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.76 : 9,893.48 = 7,029.40 : x
  2. Step 2: Convert to fraction form
    7,138.76/9,893.48 = 7,029.40/x
  3. Step 3: Cross multiply
    7,138.76x = 9,893.48 × 7,029.40
  4. Step 4: Simplify right side
    7,138.76x = 69,545,228.31
  5. Step 5: Solve for x
    x = 69,545,228.31/7,138.76
  6. Step 6: Final answer
    x = 9,741.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.