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Finding the Fourth Proportional to 9,139.71, 13,708.96 and 3,594

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Solution

The fourth proportional to 9,139.71, 13,708.96 and 3,594 is: 5,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.71 : 13,708.96 = 3,594 : x
  2. Step 2: Convert to fraction form
    9,139.71/13,708.96 = 3,594/x
  3. Step 3: Cross multiply
    9,139.71x = 13,708.96 × 3,594
  4. Step 4: Simplify right side
    9,139.71x = 49,270,002.24
  5. Step 5: Solve for x
    x = 49,270,002.24/9,139.71
  6. Step 6: Final answer
    x = 5,390.76

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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.