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Finding the Fourth Proportional to 7,064.30, 9,749.31 and 3,921.50

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Solution

The fourth proportional to 7,064.30, 9,749.31 and 3,921.50 is: 5,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.30 : 9,749.31 = 3,921.50 : x
  2. Step 2: Convert to fraction form
    7,064.30/9,749.31 = 3,921.50/x
  3. Step 3: Cross multiply
    7,064.30x = 9,749.31 × 3,921.50
  4. Step 4: Simplify right side
    7,064.30x = 38,231,919.17
  5. Step 5: Solve for x
    x = 38,231,919.17/7,064.30
  6. Step 6: Final answer
    x = 5,411.99

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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.