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Finding the Fourth Proportional to 7,052.28, 9,729.72 and 4,068.06

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Solution

The fourth proportional to 7,052.28, 9,729.72 and 4,068.06 is: 5,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.28 : 9,729.72 = 4,068.06 : x
  2. Step 2: Convert to fraction form
    7,052.28/9,729.72 = 4,068.06/x
  3. Step 3: Cross multiply
    7,052.28x = 9,729.72 × 4,068.06
  4. Step 4: Simplify right side
    7,052.28x = 39,581,084.74
  5. Step 5: Solve for x
    x = 39,581,084.74/7,052.28
  6. Step 6: Final answer
    x = 5,612.52

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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.