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Finding the Fourth Proportional to 9,534.87, 14,296.50 and 4,268.88

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Solution

The fourth proportional to 9,534.87, 14,296.50 and 4,268.88 is: 6,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.87 : 14,296.50 = 4,268.88 : x
  2. Step 2: Convert to fraction form
    9,534.87/14,296.50 = 4,268.88/x
  3. Step 3: Cross multiply
    9,534.87x = 14,296.50 × 4,268.88
  4. Step 4: Simplify right side
    9,534.87x = 61,030,042.92
  5. Step 5: Solve for x
    x = 61,030,042.92/9,534.87
  6. Step 6: Final answer
    x = 6,400.72

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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.