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Finding the Fourth Proportional to 7,014.24, 9,674.71 and 4,497.08

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Solution

The fourth proportional to 7,014.24, 9,674.71 and 4,497.08 is: 6,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.24 : 9,674.71 = 4,497.08 : x
  2. Step 2: Convert to fraction form
    7,014.24/9,674.71 = 4,497.08/x
  3. Step 3: Cross multiply
    7,014.24x = 9,674.71 × 4,497.08
  4. Step 4: Simplify right side
    7,014.24x = 43,507,885.23
  5. Step 5: Solve for x
    x = 43,507,885.23/7,014.24
  6. Step 6: Final answer
    x = 6,202.79

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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.