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Finding the Fourth Proportional to 9,685.94, 14,530.35 and 4,139.25

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Solution

The fourth proportional to 9,685.94, 14,530.35 and 4,139.25 is: 6,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.94 : 14,530.35 = 4,139.25 : x
  2. Step 2: Convert to fraction form
    9,685.94/14,530.35 = 4,139.25/x
  3. Step 3: Cross multiply
    9,685.94x = 14,530.35 × 4,139.25
  4. Step 4: Simplify right side
    9,685.94x = 60,144,751.24
  5. Step 5: Solve for x
    x = 60,144,751.24/9,685.94
  6. Step 6: Final answer
    x = 6,209.49

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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.