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Finding the Fourth Proportional to 9,712.71, 14,570.28 and 3,471.86

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Solution

The fourth proportional to 9,712.71, 14,570.28 and 3,471.86 is: 5,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.71 : 14,570.28 = 3,471.86 : x
  2. Step 2: Convert to fraction form
    9,712.71/14,570.28 = 3,471.86/x
  3. Step 3: Cross multiply
    9,712.71x = 14,570.28 × 3,471.86
  4. Step 4: Simplify right side
    9,712.71x = 50,586,008.75
  5. Step 5: Solve for x
    x = 50,586,008.75/9,712.71
  6. Step 6: Final answer
    x = 5,208.23

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Why These Related Problems?

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