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Finding the Fourth Proportional to 6,184.09, 9,267.93 and 5,358.50

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Solution

The fourth proportional to 6,184.09, 9,267.93 and 5,358.50 is: 8,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.09 : 9,267.93 = 5,358.50 : x
  2. Step 2: Convert to fraction form
    6,184.09/9,267.93 = 5,358.50/x
  3. Step 3: Cross multiply
    6,184.09x = 9,267.93 × 5,358.50
  4. Step 4: Simplify right side
    6,184.09x = 49,662,202.91
  5. Step 5: Solve for x
    x = 49,662,202.91/6,184.09
  6. Step 6: Final answer
    x = 8,030.64

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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.