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Finding the Fourth Proportional to 7,185.14, 9,914.32 and 4,041.14

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Solution

The fourth proportional to 7,185.14, 9,914.32 and 4,041.14 is: 5,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.14 : 9,914.32 = 4,041.14 : x
  2. Step 2: Convert to fraction form
    7,185.14/9,914.32 = 4,041.14/x
  3. Step 3: Cross multiply
    7,185.14x = 9,914.32 × 4,041.14
  4. Step 4: Simplify right side
    7,185.14x = 40,065,155.12
  5. Step 5: Solve for x
    x = 40,065,155.12/7,185.14
  6. Step 6: Final answer
    x = 5,576.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.