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Finding the Fourth Proportional to 7,191.48, 9,922.86 and 4,395

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Solution

The fourth proportional to 7,191.48, 9,922.86 and 4,395 is: 6,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.48 : 9,922.86 = 4,395 : x
  2. Step 2: Convert to fraction form
    7,191.48/9,922.86 = 4,395/x
  3. Step 3: Cross multiply
    7,191.48x = 9,922.86 × 4,395
  4. Step 4: Simplify right side
    7,191.48x = 43,610,969.70
  5. Step 5: Solve for x
    x = 43,610,969.70/7,191.48
  6. Step 6: Final answer
    x = 6,064.26

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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.