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Finding the Fourth Proportional to 9,277.82, 13,920.15 and 4,349.06

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Solution

The fourth proportional to 9,277.82, 13,920.15 and 4,349.06 is: 6,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.82 : 13,920.15 = 4,349.06 : x
  2. Step 2: Convert to fraction form
    9,277.82/13,920.15 = 4,349.06/x
  3. Step 3: Cross multiply
    9,277.82x = 13,920.15 × 4,349.06
  4. Step 4: Simplify right side
    9,277.82x = 60,539,567.56
  5. Step 5: Solve for x
    x = 60,539,567.56/9,277.82
  6. Step 6: Final answer
    x = 6,525.19

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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.