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Finding the Fourth Proportional to 7,114.85, 9,818.80 and 4,090.95

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Solution

The fourth proportional to 7,114.85, 9,818.80 and 4,090.95 is: 5,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.85 : 9,818.80 = 4,090.95 : x
  2. Step 2: Convert to fraction form
    7,114.85/9,818.80 = 4,090.95/x
  3. Step 3: Cross multiply
    7,114.85x = 9,818.80 × 4,090.95
  4. Step 4: Simplify right side
    7,114.85x = 40,168,170.77
  5. Step 5: Solve for x
    x = 40,168,170.77/7,114.85
  6. Step 6: Final answer
    x = 5,645.68

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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.