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Finding the Fourth Proportional to 6,357.89, 9,528.33 and 3,583.46

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Solution

The fourth proportional to 6,357.89, 9,528.33 and 3,583.46 is: 5,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.89 : 9,528.33 = 3,583.46 : x
  2. Step 2: Convert to fraction form
    6,357.89/9,528.33 = 3,583.46/x
  3. Step 3: Cross multiply
    6,357.89x = 9,528.33 × 3,583.46
  4. Step 4: Simplify right side
    6,357.89x = 34,144,389.42
  5. Step 5: Solve for x
    x = 34,144,389.42/6,357.89
  6. Step 6: Final answer
    x = 5,370.40

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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.