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Finding the Fourth Proportional to 9,141.71, 13,710.94 and 3,298.37

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Solution

The fourth proportional to 9,141.71, 13,710.94 and 3,298.37 is: 4,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.71 : 13,710.94 = 3,298.37 : x
  2. Step 2: Convert to fraction form
    9,141.71/13,710.94 = 3,298.37/x
  3. Step 3: Cross multiply
    9,141.71x = 13,710.94 × 3,298.37
  4. Step 4: Simplify right side
    9,141.71x = 45,223,676.37
  5. Step 5: Solve for x
    x = 45,223,676.37/9,141.71
  6. Step 6: Final answer
    x = 4,946.96

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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.