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Finding the Fourth Proportional to 7,114.53, 9,818.00 and 3,927.83

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Solution

The fourth proportional to 7,114.53, 9,818.00 and 3,927.83 is: 5,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.53 : 9,818.00 = 3,927.83 : x
  2. Step 2: Convert to fraction form
    7,114.53/9,818.00 = 3,927.83/x
  3. Step 3: Cross multiply
    7,114.53x = 9,818.00 × 3,927.83
  4. Step 4: Simplify right side
    7,114.53x = 38,563,439.85
  5. Step 5: Solve for x
    x = 38,563,439.85/7,114.53
  6. Step 6: Final answer
    x = 5,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.