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Finding the Fourth Proportional to 9,430.76, 14,146.31 and 2,856.92

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Solution

The fourth proportional to 9,430.76, 14,146.31 and 2,856.92 is: 4,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.76 : 14,146.31 = 2,856.92 : x
  2. Step 2: Convert to fraction form
    9,430.76/14,146.31 = 2,856.92/x
  3. Step 3: Cross multiply
    9,430.76x = 14,146.31 × 2,856.92
  4. Step 4: Simplify right side
    9,430.76x = 40,414,812.38
  5. Step 5: Solve for x
    x = 40,414,812.38/9,430.76
  6. Step 6: Final answer
    x = 4,285.43

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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.