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Finding the Fourth Proportional to 7,114.44, 9,817.88 and 3,927.74

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Solution

The fourth proportional to 7,114.44, 9,817.88 and 3,927.74 is: 5,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.44 : 9,817.88 = 3,927.74 : x
  2. Step 2: Convert to fraction form
    7,114.44/9,817.88 = 3,927.74/x
  3. Step 3: Cross multiply
    7,114.44x = 9,817.88 × 3,927.74
  4. Step 4: Simplify right side
    7,114.44x = 38,562,011.26
  5. Step 5: Solve for x
    x = 38,562,011.26/7,114.44
  6. Step 6: Final answer
    x = 5,420.25

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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.