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Finding the Fourth Proportional to 6,585.65, 9,878.48 and 2,203.42

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Solution

The fourth proportional to 6,585.65, 9,878.48 and 2,203.42 is: 3,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.65 : 9,878.48 = 2,203.42 : x
  2. Step 2: Convert to fraction form
    6,585.65/9,878.48 = 2,203.42/x
  3. Step 3: Cross multiply
    6,585.65x = 9,878.48 × 2,203.42
  4. Step 4: Simplify right side
    6,585.65x = 21,766,412.95
  5. Step 5: Solve for x
    x = 21,766,412.95/6,585.65
  6. Step 6: Final answer
    x = 3,305.13

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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.