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Finding the Fourth Proportional to 9,209.87, 13,804.10 and 5,263.89

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Solution

The fourth proportional to 9,209.87, 13,804.10 and 5,263.89 is: 7,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.87 : 13,804.10 = 5,263.89 : x
  2. Step 2: Convert to fraction form
    9,209.87/13,804.10 = 5,263.89/x
  3. Step 3: Cross multiply
    9,209.87x = 13,804.10 × 5,263.89
  4. Step 4: Simplify right side
    9,209.87x = 72,663,237.63
  5. Step 5: Solve for x
    x = 72,663,237.63/9,209.87
  6. Step 6: Final answer
    x = 7,889.72

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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.