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Finding the Fourth Proportional to 7,140.66, 9,854.16 and 3,996.84

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Solution

The fourth proportional to 7,140.66, 9,854.16 and 3,996.84 is: 5,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.66 : 9,854.16 = 3,996.84 : x
  2. Step 2: Convert to fraction form
    7,140.66/9,854.16 = 3,996.84/x
  3. Step 3: Cross multiply
    7,140.66x = 9,854.16 × 3,996.84
  4. Step 4: Simplify right side
    7,140.66x = 39,385,522.82
  5. Step 5: Solve for x
    x = 39,385,522.82/7,140.66
  6. Step 6: Final answer
    x = 5,515.67

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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.