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Finding the Fourth Proportional to 6,143.28, 9,214.89 and 1,526.28

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Solution

The fourth proportional to 6,143.28, 9,214.89 and 1,526.28 is: 2,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.28 : 9,214.89 = 1,526.28 : x
  2. Step 2: Convert to fraction form
    6,143.28/9,214.89 = 1,526.28/x
  3. Step 3: Cross multiply
    6,143.28x = 9,214.89 × 1,526.28
  4. Step 4: Simplify right side
    6,143.28x = 14,064,502.31
  5. Step 5: Solve for x
    x = 14,064,502.31/6,143.28
  6. Step 6: Final answer
    x = 2,289.41

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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.