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Finding the Fourth Proportional to 9,415.86, 14,125.96 and 2,842.10

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Solution

The fourth proportional to 9,415.86, 14,125.96 and 2,842.10 is: 4,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.86 : 14,125.96 = 2,842.10 : x
  2. Step 2: Convert to fraction form
    9,415.86/14,125.96 = 2,842.10/x
  3. Step 3: Cross multiply
    9,415.86x = 14,125.96 × 2,842.10
  4. Step 4: Simplify right side
    9,415.86x = 40,147,390.92
  5. Step 5: Solve for x
    x = 40,147,390.92/9,415.86
  6. Step 6: Final answer
    x = 4,263.80

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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.