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Finding the Fourth Proportional to 6,325.65, 9,487.58 and 3,978.50

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Solution

The fourth proportional to 6,325.65, 9,487.58 and 3,978.50 is: 5,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.65 : 9,487.58 = 3,978.50 : x
  2. Step 2: Convert to fraction form
    6,325.65/9,487.58 = 3,978.50/x
  3. Step 3: Cross multiply
    6,325.65x = 9,487.58 × 3,978.50
  4. Step 4: Simplify right side
    6,325.65x = 37,746,269.70
  5. Step 5: Solve for x
    x = 37,746,269.70/6,325.65
  6. Step 6: Final answer
    x = 5,967.18

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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.