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Finding the Fourth Proportional to 9,277.98, 13,914.16 and 3,354.17

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Solution

The fourth proportional to 9,277.98, 13,914.16 and 3,354.17 is: 5,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.98 : 13,914.16 = 3,354.17 : x
  2. Step 2: Convert to fraction form
    9,277.98/13,914.16 = 3,354.17/x
  3. Step 3: Cross multiply
    9,277.98x = 13,914.16 × 3,354.17
  4. Step 4: Simplify right side
    9,277.98x = 46,670,458.05
  5. Step 5: Solve for x
    x = 46,670,458.05/9,277.98
  6. Step 6: Final answer
    x = 5,030.24

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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.