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Finding the Fourth Proportional to 9,670.01, 13,340.61 and 6,311.61

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Solution

The fourth proportional to 9,670.01, 13,340.61 and 6,311.61 is: 8,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.01 : 13,340.61 = 6,311.61 : x
  2. Step 2: Convert to fraction form
    9,670.01/13,340.61 = 6,311.61/x
  3. Step 3: Cross multiply
    9,670.01x = 13,340.61 × 6,311.61
  4. Step 4: Simplify right side
    9,670.01x = 84,200,727.48
  5. Step 5: Solve for x
    x = 84,200,727.48/9,670.01
  6. Step 6: Final answer
    x = 8,707.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.