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Finding the Fourth Proportional to 6,232.84, 9,347.36 and 2,071.76

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Solution

The fourth proportional to 6,232.84, 9,347.36 and 2,071.76 is: 3,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.84 : 9,347.36 = 2,071.76 : x
  2. Step 2: Convert to fraction form
    6,232.84/9,347.36 = 2,071.76/x
  3. Step 3: Cross multiply
    6,232.84x = 9,347.36 × 2,071.76
  4. Step 4: Simplify right side
    6,232.84x = 19,365,429.46
  5. Step 5: Solve for x
    x = 19,365,429.46/6,232.84
  6. Step 6: Final answer
    x = 3,107.00

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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.