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Finding the Fourth Proportional to 6,306.34, 9,458.42 and 1,688.26

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Solution

The fourth proportional to 6,306.34, 9,458.42 and 1,688.26 is: 2,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.34 : 9,458.42 = 1,688.26 : x
  2. Step 2: Convert to fraction form
    6,306.34/9,458.42 = 1,688.26/x
  3. Step 3: Cross multiply
    6,306.34x = 9,458.42 × 1,688.26
  4. Step 4: Simplify right side
    6,306.34x = 15,968,272.15
  5. Step 5: Solve for x
    x = 15,968,272.15/6,306.34
  6. Step 6: Final answer
    x = 2,532.10

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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.