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Finding the Fourth Proportional to 6,595.90, 9,885.13 and 3,085.63

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Solution

The fourth proportional to 6,595.90, 9,885.13 and 3,085.63 is: 4,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.90 : 9,885.13 = 3,085.63 : x
  2. Step 2: Convert to fraction form
    6,595.90/9,885.13 = 3,085.63/x
  3. Step 3: Cross multiply
    6,595.90x = 9,885.13 × 3,085.63
  4. Step 4: Simplify right side
    6,595.90x = 30,501,853.68
  5. Step 5: Solve for x
    x = 30,501,853.68/6,595.90
  6. Step 6: Final answer
    x = 4,624.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.