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Finding the Fourth Proportional to 9,139.65, 13,700.97 and 4,213.23

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Solution

The fourth proportional to 9,139.65, 13,700.97 and 4,213.23 is: 6,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.65 : 13,700.97 = 4,213.23 : x
  2. Step 2: Convert to fraction form
    9,139.65/13,700.97 = 4,213.23/x
  3. Step 3: Cross multiply
    9,139.65x = 13,700.97 × 4,213.23
  4. Step 4: Simplify right side
    9,139.65x = 57,725,337.83
  5. Step 5: Solve for x
    x = 57,725,337.83/9,139.65
  6. Step 6: Final answer
    x = 6,315.92

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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.