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Finding the Fourth Proportional to 7,223.20, 9,966.42 and 4,705.06

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Solution

The fourth proportional to 7,223.20, 9,966.42 and 4,705.06 is: 6,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.20 : 9,966.42 = 4,705.06 : x
  2. Step 2: Convert to fraction form
    7,223.20/9,966.42 = 4,705.06/x
  3. Step 3: Cross multiply
    7,223.20x = 9,966.42 × 4,705.06
  4. Step 4: Simplify right side
    7,223.20x = 46,892,604.09
  5. Step 5: Solve for x
    x = 46,892,604.09/7,223.20
  6. Step 6: Final answer
    x = 6,491.94

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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.