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Finding the Fourth Proportional to 9,463.04, 14,194.48 and 3,223.69

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Solution

The fourth proportional to 9,463.04, 14,194.48 and 3,223.69 is: 4,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.04 : 14,194.48 = 3,223.69 : x
  2. Step 2: Convert to fraction form
    9,463.04/14,194.48 = 3,223.69/x
  3. Step 3: Cross multiply
    9,463.04x = 14,194.48 × 3,223.69
  4. Step 4: Simplify right side
    9,463.04x = 45,758,603.23
  5. Step 5: Solve for x
    x = 45,758,603.23/9,463.04
  6. Step 6: Final answer
    x = 4,835.51

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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.