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Finding the Fourth Proportional to 9,808.95, 14,709.75 and 3,567.14

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Solution

The fourth proportional to 9,808.95, 14,709.75 and 3,567.14 is: 5,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.95 : 14,709.75 = 3,567.14 : x
  2. Step 2: Convert to fraction form
    9,808.95/14,709.75 = 3,567.14/x
  3. Step 3: Cross multiply
    9,808.95x = 14,709.75 × 3,567.14
  4. Step 4: Simplify right side
    9,808.95x = 52,471,725.92
  5. Step 5: Solve for x
    x = 52,471,725.92/9,808.95
  6. Step 6: Final answer
    x = 5,349.37

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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.