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Finding the Fourth Proportional to 6,583.23, 9,827.91 and 6,352.56

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Solution

The fourth proportional to 6,583.23, 9,827.91 and 6,352.56 is: 9,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.23 : 9,827.91 = 6,352.56 : x
  2. Step 2: Convert to fraction form
    6,583.23/9,827.91 = 6,352.56/x
  3. Step 3: Cross multiply
    6,583.23x = 9,827.91 × 6,352.56
  4. Step 4: Simplify right side
    6,583.23x = 62,432,387.95
  5. Step 5: Solve for x
    x = 62,432,387.95/6,583.23
  6. Step 6: Final answer
    x = 9,483.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.