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Finding the Fourth Proportional to 6,725.80, 9,289.40 and 4,484

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Solution

The fourth proportional to 6,725.80, 9,289.40 and 4,484 is: 6,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.80 : 9,289.40 = 4,484 : x
  2. Step 2: Convert to fraction form
    6,725.80/9,289.40 = 4,484/x
  3. Step 3: Cross multiply
    6,725.80x = 9,289.40 × 4,484
  4. Step 4: Simplify right side
    6,725.80x = 41,653,669.60
  5. Step 5: Solve for x
    x = 41,653,669.60/6,725.80
  6. Step 6: Final answer
    x = 6,193.12

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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.