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Finding the Fourth Proportional to 9,543.42, 14,316.06 and 2,523.48

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Solution

The fourth proportional to 9,543.42, 14,316.06 and 2,523.48 is: 3,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.42 : 14,316.06 = 2,523.48 : x
  2. Step 2: Convert to fraction form
    9,543.42/14,316.06 = 2,523.48/x
  3. Step 3: Cross multiply
    9,543.42x = 14,316.06 × 2,523.48
  4. Step 4: Simplify right side
    9,543.42x = 36,126,291.09
  5. Step 5: Solve for x
    x = 36,126,291.09/9,543.42
  6. Step 6: Final answer
    x = 3,785.47

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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.