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Finding the Fourth Proportional to 6,486.75, 9,735.59 and 3,526.40

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Solution

The fourth proportional to 6,486.75, 9,735.59 and 3,526.40 is: 5,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.75 : 9,735.59 = 3,526.40 : x
  2. Step 2: Convert to fraction form
    6,486.75/9,735.59 = 3,526.40/x
  3. Step 3: Cross multiply
    6,486.75x = 9,735.59 × 3,526.40
  4. Step 4: Simplify right side
    6,486.75x = 34,331,617.73
  5. Step 5: Solve for x
    x = 34,331,617.73/6,486.75
  6. Step 6: Final answer
    x = 5,292.58

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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.