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Finding the Fourth Proportional to 7,029.80, 9,725.70 and 6,876.20

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Solution

The fourth proportional to 7,029.80, 9,725.70 and 6,876.20 is: 9,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.80 : 9,725.70 = 6,876.20 : x
  2. Step 2: Convert to fraction form
    7,029.80/9,725.70 = 6,876.20/x
  3. Step 3: Cross multiply
    7,029.80x = 9,725.70 × 6,876.20
  4. Step 4: Simplify right side
    7,029.80x = 66,875,858.34
  5. Step 5: Solve for x
    x = 66,875,858.34/7,029.80
  6. Step 6: Final answer
    x = 9,513.20

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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.