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Finding the Fourth Proportional to 9,685.56, 14,530.50 and 3,445.80

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Solution

The fourth proportional to 9,685.56, 14,530.50 and 3,445.80 is: 5,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.56 : 14,530.50 = 3,445.80 : x
  2. Step 2: Convert to fraction form
    9,685.56/14,530.50 = 3,445.80/x
  3. Step 3: Cross multiply
    9,685.56x = 14,530.50 × 3,445.80
  4. Step 4: Simplify right side
    9,685.56x = 50,069,196.90
  5. Step 5: Solve for x
    x = 50,069,196.90/9,685.56
  6. Step 6: Final answer
    x = 5,169.47

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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.