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Finding the Fourth Proportional to 6,429.28, 9,643.92 and 1,812.28

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Solution

The fourth proportional to 6,429.28, 9,643.92 and 1,812.28 is: 2,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.28 : 9,643.92 = 1,812.28 : x
  2. Step 2: Convert to fraction form
    6,429.28/9,643.92 = 1,812.28/x
  3. Step 3: Cross multiply
    6,429.28x = 9,643.92 × 1,812.28
  4. Step 4: Simplify right side
    6,429.28x = 17,477,483.34
  5. Step 5: Solve for x
    x = 17,477,483.34/6,429.28
  6. Step 6: Final answer
    x = 2,718.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.