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Finding the Fourth Proportional to 9,364.67, 14,041.73 and 4,098.86

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Solution

The fourth proportional to 9,364.67, 14,041.73 and 4,098.86 is: 6,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.67 : 14,041.73 = 4,098.86 : x
  2. Step 2: Convert to fraction form
    9,364.67/14,041.73 = 4,098.86/x
  3. Step 3: Cross multiply
    9,364.67x = 14,041.73 × 4,098.86
  4. Step 4: Simplify right side
    9,364.67x = 57,555,025.47
  5. Step 5: Solve for x
    x = 57,555,025.47/9,364.67
  6. Step 6: Final answer
    x = 6,145.98

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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.