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Finding the Fourth Proportional to 7,113.78, 9,816.96 and 3,927.08

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Solution

The fourth proportional to 7,113.78, 9,816.96 and 3,927.08 is: 5,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.78 : 9,816.96 = 3,927.08 : x
  2. Step 2: Convert to fraction form
    7,113.78/9,816.96 = 3,927.08/x
  3. Step 3: Cross multiply
    7,113.78x = 9,816.96 × 3,927.08
  4. Step 4: Simplify right side
    7,113.78x = 38,552,026.55
  5. Step 5: Solve for x
    x = 38,552,026.55/7,113.78
  6. Step 6: Final answer
    x = 5,419.34

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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.