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Finding the Fourth Proportional to 9,472.51, 13,072.81 and 5,223.96

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Solution

The fourth proportional to 9,472.51, 13,072.81 and 5,223.96 is: 7,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.51 : 13,072.81 = 5,223.96 : x
  2. Step 2: Convert to fraction form
    9,472.51/13,072.81 = 5,223.96/x
  3. Step 3: Cross multiply
    9,472.51x = 13,072.81 × 5,223.96
  4. Step 4: Simplify right side
    9,472.51x = 68,291,753.21
  5. Step 5: Solve for x
    x = 68,291,753.21/9,472.51
  6. Step 6: Final answer
    x = 7,209.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.