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Finding the Fourth Proportional to 9,243.74, 13,865.63 and 2,670.46

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Solution

The fourth proportional to 9,243.74, 13,865.63 and 2,670.46 is: 4,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.74 : 13,865.63 = 2,670.46 : x
  2. Step 2: Convert to fraction form
    9,243.74/13,865.63 = 2,670.46/x
  3. Step 3: Cross multiply
    9,243.74x = 13,865.63 × 2,670.46
  4. Step 4: Simplify right side
    9,243.74x = 37,027,610.29
  5. Step 5: Solve for x
    x = 37,027,610.29/9,243.74
  6. Step 6: Final answer
    x = 4,005.70

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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.