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Finding the Fourth Proportional to 6,089.77, 9,134.06 and 4,128

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Solution

The fourth proportional to 6,089.77, 9,134.06 and 4,128 is: 6,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.77 : 9,134.06 = 4,128 : x
  2. Step 2: Convert to fraction form
    6,089.77/9,134.06 = 4,128/x
  3. Step 3: Cross multiply
    6,089.77x = 9,134.06 × 4,128
  4. Step 4: Simplify right side
    6,089.77x = 37,705,379.04
  5. Step 5: Solve for x
    x = 37,705,379.04/6,089.77
  6. Step 6: Final answer
    x = 6,191.60

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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.