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Finding the Fourth Proportional to 9,459.74, 14,189.76 and 2,885.98

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Solution

The fourth proportional to 9,459.74, 14,189.76 and 2,885.98 is: 4,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.74 : 14,189.76 = 2,885.98 : x
  2. Step 2: Convert to fraction form
    9,459.74/14,189.76 = 2,885.98/x
  3. Step 3: Cross multiply
    9,459.74x = 14,189.76 × 2,885.98
  4. Step 4: Simplify right side
    9,459.74x = 40,951,346.58
  5. Step 5: Solve for x
    x = 40,951,346.58/9,459.74
  6. Step 6: Final answer
    x = 4,329.02

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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.