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Finding the Fourth Proportional to 9,570.86, 14,331.68 and 5,861.84

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Solution

The fourth proportional to 9,570.86, 14,331.68 and 5,861.84 is: 8,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.86 : 14,331.68 = 5,861.84 : x
  2. Step 2: Convert to fraction form
    9,570.86/14,331.68 = 5,861.84/x
  3. Step 3: Cross multiply
    9,570.86x = 14,331.68 × 5,861.84
  4. Step 4: Simplify right side
    9,570.86x = 84,010,090.00
  5. Step 5: Solve for x
    x = 84,010,090.00/9,570.86
  6. Step 6: Final answer
    x = 8,777.70

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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.