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Finding the Fourth Proportional to 7,033.02, 9,705.76 and 3,846.48

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Solution

The fourth proportional to 7,033.02, 9,705.76 and 3,846.48 is: 5,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.02 : 9,705.76 = 3,846.48 : x
  2. Step 2: Convert to fraction form
    7,033.02/9,705.76 = 3,846.48/x
  3. Step 3: Cross multiply
    7,033.02x = 9,705.76 × 3,846.48
  4. Step 4: Simplify right side
    7,033.02x = 37,333,011.72
  5. Step 5: Solve for x
    x = 37,333,011.72/7,033.02
  6. Step 6: Final answer
    x = 5,308.25

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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.