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Finding the Fourth Proportional to 6,085.90, 9,128.82 and 1,468.90

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Solution

The fourth proportional to 6,085.90, 9,128.82 and 1,468.90 is: 2,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.90 : 9,128.82 = 1,468.90 : x
  2. Step 2: Convert to fraction form
    6,085.90/9,128.82 = 1,468.90/x
  3. Step 3: Cross multiply
    6,085.90x = 9,128.82 × 1,468.90
  4. Step 4: Simplify right side
    6,085.90x = 13,409,323.70
  5. Step 5: Solve for x
    x = 13,409,323.70/6,085.90
  6. Step 6: Final answer
    x = 2,203.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.