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Finding the Fourth Proportional to 6,890.80, 9,509.58 and 3,907

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Solution

The fourth proportional to 6,890.80, 9,509.58 and 3,907 is: 5,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.80 : 9,509.58 = 3,907 : x
  2. Step 2: Convert to fraction form
    6,890.80/9,509.58 = 3,907/x
  3. Step 3: Cross multiply
    6,890.80x = 9,509.58 × 3,907
  4. Step 4: Simplify right side
    6,890.80x = 37,153,929.06
  5. Step 5: Solve for x
    x = 37,153,929.06/6,890.80
  6. Step 6: Final answer
    x = 5,391.82

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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.