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Finding the Fourth Proportional to 6,140.90, 9,211.35 and 5,116.90

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Solution

The fourth proportional to 6,140.90, 9,211.35 and 5,116.90 is: 7,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.90 : 9,211.35 = 5,116.90 : x
  2. Step 2: Convert to fraction form
    6,140.90/9,211.35 = 5,116.90/x
  3. Step 3: Cross multiply
    6,140.90x = 9,211.35 × 5,116.90
  4. Step 4: Simplify right side
    6,140.90x = 47,133,556.82
  5. Step 5: Solve for x
    x = 47,133,556.82/6,140.90
  6. Step 6: Final answer
    x = 7,675.35

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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.