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Finding the Fourth Proportional to 6,526.31, 9,774.27 and 3,228.80

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Solution

The fourth proportional to 6,526.31, 9,774.27 and 3,228.80 is: 4,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.31 : 9,774.27 = 3,228.80 : x
  2. Step 2: Convert to fraction form
    6,526.31/9,774.27 = 3,228.80/x
  3. Step 3: Cross multiply
    6,526.31x = 9,774.27 × 3,228.80
  4. Step 4: Simplify right side
    6,526.31x = 31,559,114.10
  5. Step 5: Solve for x
    x = 31,559,114.10/6,526.31
  6. Step 6: Final answer
    x = 4,835.68

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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.