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Finding the Fourth Proportional to 9,314.87, 13,975.13 and 2,741.11

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Solution

The fourth proportional to 9,314.87, 13,975.13 and 2,741.11 is: 4,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.87 : 13,975.13 = 2,741.11 : x
  2. Step 2: Convert to fraction form
    9,314.87/13,975.13 = 2,741.11/x
  3. Step 3: Cross multiply
    9,314.87x = 13,975.13 × 2,741.11
  4. Step 4: Simplify right side
    9,314.87x = 38,307,340.51
  5. Step 5: Solve for x
    x = 38,307,340.51/9,314.87
  6. Step 6: Final answer
    x = 4,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.