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Finding the Fourth Proportional to 6,585.34, 9,876.92 and 3,075.71

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Solution

The fourth proportional to 6,585.34, 9,876.92 and 3,075.71 is: 4,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.34 : 9,876.92 = 3,075.71 : x
  2. Step 2: Convert to fraction form
    6,585.34/9,876.92 = 3,075.71/x
  3. Step 3: Cross multiply
    6,585.34x = 9,876.92 × 3,075.71
  4. Step 4: Simplify right side
    6,585.34x = 30,378,573.99
  5. Step 5: Solve for x
    x = 30,378,573.99/6,585.34
  6. Step 6: Final answer
    x = 4,613.06

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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.