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Finding the Fourth Proportional to 9,465.86, 14,188.17 and 3,220.04

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Solution

The fourth proportional to 9,465.86, 14,188.17 and 3,220.04 is: 4,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.86 : 14,188.17 = 3,220.04 : x
  2. Step 2: Convert to fraction form
    9,465.86/14,188.17 = 3,220.04/x
  3. Step 3: Cross multiply
    9,465.86x = 14,188.17 × 3,220.04
  4. Step 4: Simplify right side
    9,465.86x = 45,686,474.93
  5. Step 5: Solve for x
    x = 45,686,474.93/9,465.86
  6. Step 6: Final answer
    x = 4,826.45

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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.