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Finding the Fourth Proportional to 9,210.70, 12,711.50 and 5,233.06

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Solution

The fourth proportional to 9,210.70, 12,711.50 and 5,233.06 is: 7,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.70 : 12,711.50 = 5,233.06 : x
  2. Step 2: Convert to fraction form
    9,210.70/12,711.50 = 5,233.06/x
  3. Step 3: Cross multiply
    9,210.70x = 12,711.50 × 5,233.06
  4. Step 4: Simplify right side
    9,210.70x = 66,520,042.19
  5. Step 5: Solve for x
    x = 66,520,042.19/9,210.70
  6. Step 6: Final answer
    x = 7,222.04

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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.