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Finding the Fourth Proportional to 9,713.68, 14,565.50 and 3,139.01

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Solution

The fourth proportional to 9,713.68, 14,565.50 and 3,139.01 is: 4,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.68 : 14,565.50 = 3,139.01 : x
  2. Step 2: Convert to fraction form
    9,713.68/14,565.50 = 3,139.01/x
  3. Step 3: Cross multiply
    9,713.68x = 14,565.50 × 3,139.01
  4. Step 4: Simplify right side
    9,713.68x = 45,721,161.63
  5. Step 5: Solve for x
    x = 45,721,161.63/9,713.68
  6. Step 6: Final answer
    x = 4,706.88

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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.