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Finding the Fourth Proportional to 6,277.18, 9,417.81 and 4,895.27

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Solution

The fourth proportional to 6,277.18, 9,417.81 and 4,895.27 is: 7,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.18 : 9,417.81 = 4,895.27 : x
  2. Step 2: Convert to fraction form
    6,277.18/9,417.81 = 4,895.27/x
  3. Step 3: Cross multiply
    6,277.18x = 9,417.81 × 4,895.27
  4. Step 4: Simplify right side
    6,277.18x = 46,102,765.63
  5. Step 5: Solve for x
    x = 46,102,765.63/6,277.18
  6. Step 6: Final answer
    x = 7,344.50

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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.