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Finding the Fourth Proportional to 9,459.56, 14,189.52 and 2,534

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Solution

The fourth proportional to 9,459.56, 14,189.52 and 2,534 is: 3,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.56 : 14,189.52 = 2,534 : x
  2. Step 2: Convert to fraction form
    9,459.56/14,189.52 = 2,534/x
  3. Step 3: Cross multiply
    9,459.56x = 14,189.52 × 2,534
  4. Step 4: Simplify right side
    9,459.56x = 35,956,243.68
  5. Step 5: Solve for x
    x = 35,956,243.68/9,459.56
  6. Step 6: Final answer
    x = 3,801.05

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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.