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Finding the Fourth Proportional to 7,234, 9,983.54 and 4,583.49

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Solution

The fourth proportional to 7,234, 9,983.54 and 4,583.49 is: 6,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234 : 9,983.54 = 4,583.49 : x
  2. Step 2: Convert to fraction form
    7,234/9,983.54 = 4,583.49/x
  3. Step 3: Cross multiply
    7,234x = 9,983.54 × 4,583.49
  4. Step 4: Simplify right side
    7,234x = 45,759,455.75
  5. Step 5: Solve for x
    x = 45,759,455.75/7,234
  6. Step 6: Final answer
    x = 6,325.61

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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.