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Finding the Fourth Proportional to 9,685.44, 14,530.86 and 4,139.10

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Solution

The fourth proportional to 9,685.44, 14,530.86 and 4,139.10 is: 6,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.44 : 14,530.86 = 4,139.10 : x
  2. Step 2: Convert to fraction form
    9,685.44/14,530.86 = 4,139.10/x
  3. Step 3: Cross multiply
    9,685.44x = 14,530.86 × 4,139.10
  4. Step 4: Simplify right side
    9,685.44x = 60,144,682.63
  5. Step 5: Solve for x
    x = 60,144,682.63/9,685.44
  6. Step 6: Final answer
    x = 6,209.80

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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.