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Finding the Fourth Proportional to 9,849.37, 14,773.74 and 4,005.85

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Solution

The fourth proportional to 9,849.37, 14,773.74 and 4,005.85 is: 6,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.37 : 14,773.74 = 4,005.85 : x
  2. Step 2: Convert to fraction form
    9,849.37/14,773.74 = 4,005.85/x
  3. Step 3: Cross multiply
    9,849.37x = 14,773.74 × 4,005.85
  4. Step 4: Simplify right side
    9,849.37x = 59,181,386.38
  5. Step 5: Solve for x
    x = 59,181,386.38/9,849.37
  6. Step 6: Final answer
    x = 6,008.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.