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Finding the Fourth Proportional to 6,567.45, 9,842.96 and 3,281.46

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Solution

The fourth proportional to 6,567.45, 9,842.96 and 3,281.46 is: 4,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.45 : 9,842.96 = 3,281.46 : x
  2. Step 2: Convert to fraction form
    6,567.45/9,842.96 = 3,281.46/x
  3. Step 3: Cross multiply
    6,567.45x = 9,842.96 × 3,281.46
  4. Step 4: Simplify right side
    6,567.45x = 32,299,263.11
  5. Step 5: Solve for x
    x = 32,299,263.11/6,567.45
  6. Step 6: Final answer
    x = 4,918.08

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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.