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Finding the Fourth Proportional to 6,530.64, 9,011.23 and 4,011.94

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Solution

The fourth proportional to 6,530.64, 9,011.23 and 4,011.94 is: 5,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.64 : 9,011.23 = 4,011.94 : x
  2. Step 2: Convert to fraction form
    6,530.64/9,011.23 = 4,011.94/x
  3. Step 3: Cross multiply
    6,530.64x = 9,011.23 × 4,011.94
  4. Step 4: Simplify right side
    6,530.64x = 36,152,514.09
  5. Step 5: Solve for x
    x = 36,152,514.09/6,530.64
  6. Step 6: Final answer
    x = 5,535.83

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