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Finding the Fourth Proportional to 9,459.12, 14,187.06 and 2,532

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Solution

The fourth proportional to 9,459.12, 14,187.06 and 2,532 is: 3,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.12 : 14,187.06 = 2,532 : x
  2. Step 2: Convert to fraction form
    9,459.12/14,187.06 = 2,532/x
  3. Step 3: Cross multiply
    9,459.12x = 14,187.06 × 2,532
  4. Step 4: Simplify right side
    9,459.12x = 35,921,635.92
  5. Step 5: Solve for x
    x = 35,921,635.92/9,459.12
  6. Step 6: Final answer
    x = 3,797.57

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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.