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Finding the Fourth Proportional to 6,532.98, 9,013.36 and 3,700.06

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Solution

The fourth proportional to 6,532.98, 9,013.36 and 3,700.06 is: 5,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.98 : 9,013.36 = 3,700.06 : x
  2. Step 2: Convert to fraction form
    6,532.98/9,013.36 = 3,700.06/x
  3. Step 3: Cross multiply
    6,532.98x = 9,013.36 × 3,700.06
  4. Step 4: Simplify right side
    6,532.98x = 33,349,972.80
  5. Step 5: Solve for x
    x = 33,349,972.80/6,532.98
  6. Step 6: Final answer
    x = 5,104.86

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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.