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Finding the Fourth Proportional to 7,237.73, 9,986.71 and 4,586.02

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Solution

The fourth proportional to 7,237.73, 9,986.71 and 4,586.02 is: 6,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.73 : 9,986.71 = 4,586.02 : x
  2. Step 2: Convert to fraction form
    7,237.73/9,986.71 = 4,586.02/x
  3. Step 3: Cross multiply
    7,237.73x = 9,986.71 × 4,586.02
  4. Step 4: Simplify right side
    7,237.73x = 45,799,251.79
  5. Step 5: Solve for x
    x = 45,799,251.79/7,237.73
  6. Step 6: Final answer
    x = 6,327.85

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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.