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Finding the Fourth Proportional to 7,014.31, 9,679.73 and 4,030.36

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Solution

The fourth proportional to 7,014.31, 9,679.73 and 4,030.36 is: 5,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.31 : 9,679.73 = 4,030.36 : x
  2. Step 2: Convert to fraction form
    7,014.31/9,679.73 = 4,030.36/x
  3. Step 3: Cross multiply
    7,014.31x = 9,679.73 × 4,030.36
  4. Step 4: Simplify right side
    7,014.31x = 39,012,752.25
  5. Step 5: Solve for x
    x = 39,012,752.25/7,014.31
  6. Step 6: Final answer
    x = 5,561.88

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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.