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Finding the Fourth Proportional to 6,974.04, 9,622.30 and 4,139.06

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Solution

The fourth proportional to 6,974.04, 9,622.30 and 4,139.06 is: 5,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.04 : 9,622.30 = 4,139.06 : x
  2. Step 2: Convert to fraction form
    6,974.04/9,622.30 = 4,139.06/x
  3. Step 3: Cross multiply
    6,974.04x = 9,622.30 × 4,139.06
  4. Step 4: Simplify right side
    6,974.04x = 39,827,277.04
  5. Step 5: Solve for x
    x = 39,827,277.04/6,974.04
  6. Step 6: Final answer
    x = 5,710.79

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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.