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Finding the Fourth Proportional to 9,472.11, 13,070.67 and 5,223.16

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Solution

The fourth proportional to 9,472.11, 13,070.67 and 5,223.16 is: 7,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.11 : 13,070.67 = 5,223.16 : x
  2. Step 2: Convert to fraction form
    9,472.11/13,070.67 = 5,223.16/x
  3. Step 3: Cross multiply
    9,472.11x = 13,070.67 × 5,223.16
  4. Step 4: Simplify right side
    9,472.11x = 68,270,200.72
  5. Step 5: Solve for x
    x = 68,270,200.72/9,472.11
  6. Step 6: Final answer
    x = 7,207.50

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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.