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Finding the Fourth Proportional to 7,037.41, 9,706.21 and 4,912.26

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Solution

The fourth proportional to 7,037.41, 9,706.21 and 4,912.26 is: 6,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.41 : 9,706.21 = 4,912.26 : x
  2. Step 2: Convert to fraction form
    7,037.41/9,706.21 = 4,912.26/x
  3. Step 3: Cross multiply
    7,037.41x = 9,706.21 × 4,912.26
  4. Step 4: Simplify right side
    7,037.41x = 47,679,427.13
  5. Step 5: Solve for x
    x = 47,679,427.13/7,037.41
  6. Step 6: Final answer
    x = 6,775.14

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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.