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Finding the Fourth Proportional to 6,270.12, 9,405.18 and 5,971.50

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Solution

The fourth proportional to 6,270.12, 9,405.18 and 5,971.50 is: 8,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.12 : 9,405.18 = 5,971.50 : x
  2. Step 2: Convert to fraction form
    6,270.12/9,405.18 = 5,971.50/x
  3. Step 3: Cross multiply
    6,270.12x = 9,405.18 × 5,971.50
  4. Step 4: Simplify right side
    6,270.12x = 56,163,032.37
  5. Step 5: Solve for x
    x = 56,163,032.37/6,270.12
  6. Step 6: Final answer
    x = 8,957.25

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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.